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Finding the Fourth Proportional to 5,108.50, 7,648.13 and 3,462.12

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Solution

The fourth proportional to 5,108.50, 7,648.13 and 3,462.12 is: 5,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 7,648.13 = 3,462.12 : x
  2. Step 2: Convert to fraction form
    5,108.50/7,648.13 = 3,462.12/x
  3. Step 3: Cross multiply
    5,108.50x = 7,648.13 × 3,462.12
  4. Step 4: Simplify right side
    5,108.50x = 26,478,726.53
  5. Step 5: Solve for x
    x = 26,478,726.53/5,108.50
  6. Step 6: Final answer
    x = 5,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.