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Finding the Fourth Proportional to 3,411.87, 5,091.20 and 3,044.13

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Solution

The fourth proportional to 3,411.87, 5,091.20 and 3,044.13 is: 4,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.87 : 5,091.20 = 3,044.13 : x
  2. Step 2: Convert to fraction form
    3,411.87/5,091.20 = 3,044.13/x
  3. Step 3: Cross multiply
    3,411.87x = 5,091.20 × 3,044.13
  4. Step 4: Simplify right side
    3,411.87x = 15,498,259.44
  5. Step 5: Solve for x
    x = 15,498,259.44/3,411.87
  6. Step 6: Final answer
    x = 4,542.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.