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Finding the Fourth Proportional to 3,712.96, 5,115.09 and 2,591.92

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Solution

The fourth proportional to 3,712.96, 5,115.09 and 2,591.92 is: 3,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.96 : 5,115.09 = 2,591.92 : x
  2. Step 2: Convert to fraction form
    3,712.96/5,115.09 = 2,591.92/x
  3. Step 3: Cross multiply
    3,712.96x = 5,115.09 × 2,591.92
  4. Step 4: Simplify right side
    3,712.96x = 13,257,904.07
  5. Step 5: Solve for x
    x = 13,257,904.07/3,712.96
  6. Step 6: Final answer
    x = 3,570.71

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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.