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Finding the Fourth Proportional to 5,129.29, 7,687.23 and 5,000.50

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Solution

The fourth proportional to 5,129.29, 7,687.23 and 5,000.50 is: 7,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.29 : 7,687.23 = 5,000.50 : x
  2. Step 2: Convert to fraction form
    5,129.29/7,687.23 = 5,000.50/x
  3. Step 3: Cross multiply
    5,129.29x = 7,687.23 × 5,000.50
  4. Step 4: Simplify right side
    5,129.29x = 38,439,993.62
  5. Step 5: Solve for x
    x = 38,439,993.62/5,129.29
  6. Step 6: Final answer
    x = 7,494.21

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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.