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Finding the Fourth Proportional to 6,057.92, 9,089.46 and 3,138.28

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Solution

The fourth proportional to 6,057.92, 9,089.46 and 3,138.28 is: 4,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.92 : 9,089.46 = 3,138.28 : x
  2. Step 2: Convert to fraction form
    6,057.92/9,089.46 = 3,138.28/x
  3. Step 3: Cross multiply
    6,057.92x = 9,089.46 × 3,138.28
  4. Step 4: Simplify right side
    6,057.92x = 28,525,270.53
  5. Step 5: Solve for x
    x = 28,525,270.53/6,057.92
  6. Step 6: Final answer
    x = 4,708.76

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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.