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Finding the Fourth Proportional to 3,807.45, 5,711.17 and 1,034.12

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Solution

The fourth proportional to 3,807.45, 5,711.17 and 1,034.12 is: 1,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.45 : 5,711.17 = 1,034.12 : x
  2. Step 2: Convert to fraction form
    3,807.45/5,711.17 = 1,034.12/x
  3. Step 3: Cross multiply
    3,807.45x = 5,711.17 × 1,034.12
  4. Step 4: Simplify right side
    3,807.45x = 5,906,035.12
  5. Step 5: Solve for x
    x = 5,906,035.12/3,807.45
  6. Step 6: Final answer
    x = 1,551.18

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Why These Related Problems?

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