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Finding the Fourth Proportional to 5,411.73, 8,118.42 and 1,712.73

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Solution

The fourth proportional to 5,411.73, 8,118.42 and 1,712.73 is: 2,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.73 : 8,118.42 = 1,712.73 : x
  2. Step 2: Convert to fraction form
    5,411.73/8,118.42 = 1,712.73/x
  3. Step 3: Cross multiply
    5,411.73x = 8,118.42 × 1,712.73
  4. Step 4: Simplify right side
    5,411.73x = 13,904,661.49
  5. Step 5: Solve for x
    x = 13,904,661.49/5,411.73
  6. Step 6: Final answer
    x = 2,569.36

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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.