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Finding the Fourth Proportional to 3,660.68, 5,049.68 and 2,315.87

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Solution

The fourth proportional to 3,660.68, 5,049.68 and 2,315.87 is: 3,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.68 : 5,049.68 = 2,315.87 : x
  2. Step 2: Convert to fraction form
    3,660.68/5,049.68 = 2,315.87/x
  3. Step 3: Cross multiply
    3,660.68x = 5,049.68 × 2,315.87
  4. Step 4: Simplify right side
    3,660.68x = 11,694,402.42
  5. Step 5: Solve for x
    x = 11,694,402.42/3,660.68
  6. Step 6: Final answer
    x = 3,194.60

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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.