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Finding the Fourth Proportional to 5,546.30, 7,655.18 and 3,658.22

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Solution

The fourth proportional to 5,546.30, 7,655.18 and 3,658.22 is: 5,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.30 : 7,655.18 = 3,658.22 : x
  2. Step 2: Convert to fraction form
    5,546.30/7,655.18 = 3,658.22/x
  3. Step 3: Cross multiply
    5,546.30x = 7,655.18 × 3,658.22
  4. Step 4: Simplify right side
    5,546.30x = 28,004,276.01
  5. Step 5: Solve for x
    x = 28,004,276.01/5,546.30
  6. Step 6: Final answer
    x = 5,049.19

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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.