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Finding the Fourth Proportional to 3,092.97, 4,639.92 and 901.41

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Solution

The fourth proportional to 3,092.97, 4,639.92 and 901.41 is: 1,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.97 : 4,639.92 = 901.41 : x
  2. Step 2: Convert to fraction form
    3,092.97/4,639.92 = 901.41/x
  3. Step 3: Cross multiply
    3,092.97x = 4,639.92 × 901.41
  4. Step 4: Simplify right side
    3,092.97x = 4,182,470.29
  5. Step 5: Solve for x
    x = 4,182,470.29/3,092.97
  6. Step 6: Final answer
    x = 1,352.25

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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.