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Finding the Fourth Proportional to 6,057.60, 9,086.80 and 3,139.44

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Solution

The fourth proportional to 6,057.60, 9,086.80 and 3,139.44 is: 4,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.60 : 9,086.80 = 3,139.44 : x
  2. Step 2: Convert to fraction form
    6,057.60/9,086.80 = 3,139.44/x
  3. Step 3: Cross multiply
    6,057.60x = 9,086.80 × 3,139.44
  4. Step 4: Simplify right side
    6,057.60x = 28,527,463.39
  5. Step 5: Solve for x
    x = 28,527,463.39/6,057.60
  6. Step 6: Final answer
    x = 4,709.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.