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Finding the Fourth Proportional to 3,712.84, 5,115.10 and 2,577.42

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Solution

The fourth proportional to 3,712.84, 5,115.10 and 2,577.42 is: 3,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.84 : 5,115.10 = 2,577.42 : x
  2. Step 2: Convert to fraction form
    3,712.84/5,115.10 = 2,577.42/x
  3. Step 3: Cross multiply
    3,712.84x = 5,115.10 × 2,577.42
  4. Step 4: Simplify right side
    3,712.84x = 13,183,761.04
  5. Step 5: Solve for x
    x = 13,183,761.04/3,712.84
  6. Step 6: Final answer
    x = 3,550.86

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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.