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Finding the Fourth Proportional to 6,311.28, 8,708.55 and 3,658.17

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Solution

The fourth proportional to 6,311.28, 8,708.55 and 3,658.17 is: 5,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.28 : 8,708.55 = 3,658.17 : x
  2. Step 2: Convert to fraction form
    6,311.28/8,708.55 = 3,658.17/x
  3. Step 3: Cross multiply
    6,311.28x = 8,708.55 × 3,658.17
  4. Step 4: Simplify right side
    6,311.28x = 31,857,375.29
  5. Step 5: Solve for x
    x = 31,857,375.29/6,311.28
  6. Step 6: Final answer
    x = 5,047.69

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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.