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Finding the Fourth Proportional to 5,113.96, 7,658.76 and 3,160.24

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Solution

The fourth proportional to 5,113.96, 7,658.76 and 3,160.24 is: 4,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.96 : 7,658.76 = 3,160.24 : x
  2. Step 2: Convert to fraction form
    5,113.96/7,658.76 = 3,160.24/x
  3. Step 3: Cross multiply
    5,113.96x = 7,658.76 × 3,160.24
  4. Step 4: Simplify right side
    5,113.96x = 24,203,519.70
  5. Step 5: Solve for x
    x = 24,203,519.70/5,113.96
  6. Step 6: Final answer
    x = 4,732.83

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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.