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Finding the Fourth Proportional to 5,158.70, 7,729.43 and 4,966.73

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Solution

The fourth proportional to 5,158.70, 7,729.43 and 4,966.73 is: 7,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.70 : 7,729.43 = 4,966.73 : x
  2. Step 2: Convert to fraction form
    5,158.70/7,729.43 = 4,966.73/x
  3. Step 3: Cross multiply
    5,158.70x = 7,729.43 × 4,966.73
  4. Step 4: Simplify right side
    5,158.70x = 38,389,965.63
  5. Step 5: Solve for x
    x = 38,389,965.63/5,158.70
  6. Step 6: Final answer
    x = 7,441.80

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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.