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Finding the Fourth Proportional to 3,658.56, 5,487.84 and 1,708.48

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Solution

The fourth proportional to 3,658.56, 5,487.84 and 1,708.48 is: 2,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.56 : 5,487.84 = 1,708.48 : x
  2. Step 2: Convert to fraction form
    3,658.56/5,487.84 = 1,708.48/x
  3. Step 3: Cross multiply
    3,658.56x = 5,487.84 × 1,708.48
  4. Step 4: Simplify right side
    3,658.56x = 9,375,864.88
  5. Step 5: Solve for x
    x = 9,375,864.88/3,658.56
  6. Step 6: Final answer
    x = 2,562.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.