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Finding the Fourth Proportional to 4,086.62, 5,640.12 and 2,294.29

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Solution

The fourth proportional to 4,086.62, 5,640.12 and 2,294.29 is: 3,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.62 : 5,640.12 = 2,294.29 : x
  2. Step 2: Convert to fraction form
    4,086.62/5,640.12 = 2,294.29/x
  3. Step 3: Cross multiply
    4,086.62x = 5,640.12 × 2,294.29
  4. Step 4: Simplify right side
    4,086.62x = 12,940,070.91
  5. Step 5: Solve for x
    x = 12,940,070.91/4,086.62
  6. Step 6: Final answer
    x = 3,166.45

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