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Finding the Fourth Proportional to 5,687,466.54, 8,533,354.16 and 3,414,578.25

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Solution

The fourth proportional to 5,687,466.54, 8,533,354.16 and 3,414,578.25 is: 5,123,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,466.54 : 8,533,354.16 = 3,414,578.25 : x
  2. Step 2: Convert to fraction form
    5,687,466.54/8,533,354.16 = 3,414,578.25/x
  3. Step 3: Cross multiply
    5,687,466.54x = 8,533,354.16 × 3,414,578.25
  4. Step 4: Simplify right side
    5,687,466.54x = 29,137,805,497,210.12
  5. Step 5: Solve for x
    x = 29,137,805,497,210.12/5,687,466.54
  6. Step 6: Final answer
    x = 5,123,160.78

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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.