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Finding the Fourth Proportional to 5,122.10, 7,680.62 and 1,658.90

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Solution

The fourth proportional to 5,122.10, 7,680.62 and 1,658.90 is: 2,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.10 : 7,680.62 = 1,658.90 : x
  2. Step 2: Convert to fraction form
    5,122.10/7,680.62 = 1,658.90/x
  3. Step 3: Cross multiply
    5,122.10x = 7,680.62 × 1,658.90
  4. Step 4: Simplify right side
    5,122.10x = 12,741,380.52
  5. Step 5: Solve for x
    x = 12,741,380.52/5,122.10
  6. Step 6: Final answer
    x = 2,487.53

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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.