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Finding the Fourth Proportional to 5,179.44, 7,729.34 and 5,149.86

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Solution

The fourth proportional to 5,179.44, 7,729.34 and 5,149.86 is: 7,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.44 : 7,729.34 = 5,149.86 : x
  2. Step 2: Convert to fraction form
    5,179.44/7,729.34 = 5,149.86/x
  3. Step 3: Cross multiply
    5,179.44x = 7,729.34 × 5,149.86
  4. Step 4: Simplify right side
    5,179.44x = 39,804,983.47
  5. Step 5: Solve for x
    x = 39,804,983.47/5,179.44
  6. Step 6: Final answer
    x = 7,685.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.