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Finding the Fourth Proportional to 5,121.57, 7,686 and 3,952.74

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Solution

The fourth proportional to 5,121.57, 7,686 and 3,952.74 is: 5,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.57 : 7,686 = 3,952.74 : x
  2. Step 2: Convert to fraction form
    5,121.57/7,686 = 3,952.74/x
  3. Step 3: Cross multiply
    5,121.57x = 7,686 × 3,952.74
  4. Step 4: Simplify right side
    5,121.57x = 30,380,759.64
  5. Step 5: Solve for x
    x = 30,380,759.64/5,121.57
  6. Step 6: Final answer
    x = 5,931.92

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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.