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Finding the Fourth Proportional to 5,129.88, 7,077.69 and 3,139.98

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Solution

The fourth proportional to 5,129.88, 7,077.69 and 3,139.98 is: 4,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.88 : 7,077.69 = 3,139.98 : x
  2. Step 2: Convert to fraction form
    5,129.88/7,077.69 = 3,139.98/x
  3. Step 3: Cross multiply
    5,129.88x = 7,077.69 × 3,139.98
  4. Step 4: Simplify right side
    5,129.88x = 22,223,805.05
  5. Step 5: Solve for x
    x = 22,223,805.05/5,129.88
  6. Step 6: Final answer
    x = 4,332.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.