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Finding the Fourth Proportional to 3,468.97, 5,200.71 and 2,006.47

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Solution

The fourth proportional to 3,468.97, 5,200.71 and 2,006.47 is: 3,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.97 : 5,200.71 = 2,006.47 : x
  2. Step 2: Convert to fraction form
    3,468.97/5,200.71 = 2,006.47/x
  3. Step 3: Cross multiply
    3,468.97x = 5,200.71 × 2,006.47
  4. Step 4: Simplify right side
    3,468.97x = 10,435,068.59
  5. Step 5: Solve for x
    x = 10,435,068.59/3,468.97
  6. Step 6: Final answer
    x = 3,008.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.