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Finding the Fourth Proportional to 5,546.17, 7,656.20 and 3,658.87

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Solution

The fourth proportional to 5,546.17, 7,656.20 and 3,658.87 is: 5,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.17 : 7,656.20 = 3,658.87 : x
  2. Step 2: Convert to fraction form
    5,546.17/7,656.20 = 3,658.87/x
  3. Step 3: Cross multiply
    5,546.17x = 7,656.20 × 3,658.87
  4. Step 4: Simplify right side
    5,546.17x = 28,013,011.36
  5. Step 5: Solve for x
    x = 28,013,011.36/5,546.17
  6. Step 6: Final answer
    x = 5,050.88

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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.