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Finding the Fourth Proportional to 3,371.71, 5,057.91 and 906.55

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Solution

The fourth proportional to 3,371.71, 5,057.91 and 906.55 is: 1,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.71 : 5,057.91 = 906.55 : x
  2. Step 2: Convert to fraction form
    3,371.71/5,057.91 = 906.55/x
  3. Step 3: Cross multiply
    3,371.71x = 5,057.91 × 906.55
  4. Step 4: Simplify right side
    3,371.71x = 4,585,248.31
  5. Step 5: Solve for x
    x = 4,585,248.31/3,371.71
  6. Step 6: Final answer
    x = 1,359.92

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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.