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Finding the Fourth Proportional to 5,549.28, 7,658.19 and 3,191.64

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Solution

The fourth proportional to 5,549.28, 7,658.19 and 3,191.64 is: 4,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.28 : 7,658.19 = 3,191.64 : x
  2. Step 2: Convert to fraction form
    5,549.28/7,658.19 = 3,191.64/x
  3. Step 3: Cross multiply
    5,549.28x = 7,658.19 × 3,191.64
  4. Step 4: Simplify right side
    5,549.28x = 24,442,185.53
  5. Step 5: Solve for x
    x = 24,442,185.53/5,549.28
  6. Step 6: Final answer
    x = 4,404.57

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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.