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Finding the Fourth Proportional to 5,608.43, 8,414.16 and 1,712.73

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Solution

The fourth proportional to 5,608.43, 8,414.16 and 1,712.73 is: 2,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.43 : 8,414.16 = 1,712.73 : x
  2. Step 2: Convert to fraction form
    5,608.43/8,414.16 = 1,712.73/x
  3. Step 3: Cross multiply
    5,608.43x = 8,414.16 × 1,712.73
  4. Step 4: Simplify right side
    5,608.43x = 14,411,184.26
  5. Step 5: Solve for x
    x = 14,411,184.26/5,608.43
  6. Step 6: Final answer
    x = 2,569.56

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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.