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Finding the Fourth Proportional to 5,117.87, 7,687.05 and 4,949.73

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Solution

The fourth proportional to 5,117.87, 7,687.05 and 4,949.73 is: 7,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.87 : 7,687.05 = 4,949.73 : x
  2. Step 2: Convert to fraction form
    5,117.87/7,687.05 = 4,949.73/x
  3. Step 3: Cross multiply
    5,117.87x = 7,687.05 × 4,949.73
  4. Step 4: Simplify right side
    5,117.87x = 38,048,822.00
  5. Step 5: Solve for x
    x = 38,048,822.00/5,117.87
  6. Step 6: Final answer
    x = 7,434.50

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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.