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Finding the Fourth Proportional to 5,149.50, 7,108.47 and 3,657.66

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Solution

The fourth proportional to 5,149.50, 7,108.47 and 3,657.66 is: 5,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.50 : 7,108.47 = 3,657.66 : x
  2. Step 2: Convert to fraction form
    5,149.50/7,108.47 = 3,657.66/x
  3. Step 3: Cross multiply
    5,149.50x = 7,108.47 × 3,657.66
  4. Step 4: Simplify right side
    5,149.50x = 26,000,366.38
  5. Step 5: Solve for x
    x = 26,000,366.38/5,149.50
  6. Step 6: Final answer
    x = 5,049.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.