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Finding the Fourth Proportional to 5,411.74, 8,118.43 and 1,712.74

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Solution

The fourth proportional to 5,411.74, 8,118.43 and 1,712.74 is: 2,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.74 : 8,118.43 = 1,712.74 : x
  2. Step 2: Convert to fraction form
    5,411.74/8,118.43 = 1,712.74/x
  3. Step 3: Cross multiply
    5,411.74x = 8,118.43 × 1,712.74
  4. Step 4: Simplify right side
    5,411.74x = 13,904,759.80
  5. Step 5: Solve for x
    x = 13,904,759.80/5,411.74
  6. Step 6: Final answer
    x = 2,569.37

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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.