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Finding the Fourth Proportional to 3,707.64, 5,118.12 and 2,449.31

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Solution

The fourth proportional to 3,707.64, 5,118.12 and 2,449.31 is: 3,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.64 : 5,118.12 = 2,449.31 : x
  2. Step 2: Convert to fraction form
    3,707.64/5,118.12 = 2,449.31/x
  3. Step 3: Cross multiply
    3,707.64x = 5,118.12 × 2,449.31
  4. Step 4: Simplify right side
    3,707.64x = 12,535,836.91
  5. Step 5: Solve for x
    x = 12,535,836.91/3,707.64
  6. Step 6: Final answer
    x = 3,381.08

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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.