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Finding the Fourth Proportional to 4,934.44, 6,802.08 and 4,187.60

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Solution

The fourth proportional to 4,934.44, 6,802.08 and 4,187.60 is: 5,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.44 : 6,802.08 = 4,187.60 : x
  2. Step 2: Convert to fraction form
    4,934.44/6,802.08 = 4,187.60/x
  3. Step 3: Cross multiply
    4,934.44x = 6,802.08 × 4,187.60
  4. Step 4: Simplify right side
    4,934.44x = 28,484,390.21
  5. Step 5: Solve for x
    x = 28,484,390.21/4,934.44
  6. Step 6: Final answer
    x = 5,772.57

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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.