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Finding the Fourth Proportional to 5,219.39, 7,206.12 and 4,658.92

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Solution

The fourth proportional to 5,219.39, 7,206.12 and 4,658.92 is: 6,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.39 : 7,206.12 = 4,658.92 : x
  2. Step 2: Convert to fraction form
    5,219.39/7,206.12 = 4,658.92/x
  3. Step 3: Cross multiply
    5,219.39x = 7,206.12 × 4,658.92
  4. Step 4: Simplify right side
    5,219.39x = 33,572,736.59
  5. Step 5: Solve for x
    x = 33,572,736.59/5,219.39
  6. Step 6: Final answer
    x = 6,432.31

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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.