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Finding the Fourth Proportional to 3,138.46, 4,704.41 and 1,057.75

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Solution

The fourth proportional to 3,138.46, 4,704.41 and 1,057.75 is: 1,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.46 : 4,704.41 = 1,057.75 : x
  2. Step 2: Convert to fraction form
    3,138.46/4,704.41 = 1,057.75/x
  3. Step 3: Cross multiply
    3,138.46x = 4,704.41 × 1,057.75
  4. Step 4: Simplify right side
    3,138.46x = 4,976,060.87
  5. Step 5: Solve for x
    x = 4,976,060.87/3,138.46
  6. Step 6: Final answer
    x = 1,585.51

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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.