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Finding the Fourth Proportional to 5,194.01, 7,169.04 and 3,206.21

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Solution

The fourth proportional to 5,194.01, 7,169.04 and 3,206.21 is: 4,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.01 : 7,169.04 = 3,206.21 : x
  2. Step 2: Convert to fraction form
    5,194.01/7,169.04 = 3,206.21/x
  3. Step 3: Cross multiply
    5,194.01x = 7,169.04 × 3,206.21
  4. Step 4: Simplify right side
    5,194.01x = 22,985,447.74
  5. Step 5: Solve for x
    x = 22,985,447.74/5,194.01
  6. Step 6: Final answer
    x = 4,425.38

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Find fourth proportional to 2,597.01, 3,584.52 and 1,603.11
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.