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Finding the Fourth Proportional to 5,129.85, 7,079.87 and 3,140.90

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Solution

The fourth proportional to 5,129.85, 7,079.87 and 3,140.90 is: 4,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.85 : 7,079.87 = 3,140.90 : x
  2. Step 2: Convert to fraction form
    5,129.85/7,079.87 = 3,140.90/x
  3. Step 3: Cross multiply
    5,129.85x = 7,079.87 × 3,140.90
  4. Step 4: Simplify right side
    5,129.85x = 22,237,163.68
  5. Step 5: Solve for x
    x = 22,237,163.68/5,129.85
  6. Step 6: Final answer
    x = 4,334.86

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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.