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Finding the Fourth Proportional to 3,752.71, 5,179.05 and 2,074.44

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Solution

The fourth proportional to 3,752.71, 5,179.05 and 2,074.44 is: 2,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.71 : 5,179.05 = 2,074.44 : x
  2. Step 2: Convert to fraction form
    3,752.71/5,179.05 = 2,074.44/x
  3. Step 3: Cross multiply
    3,752.71x = 5,179.05 × 2,074.44
  4. Step 4: Simplify right side
    3,752.71x = 10,743,647.90
  5. Step 5: Solve for x
    x = 10,743,647.90/3,752.71
  6. Step 6: Final answer
    x = 2,862.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.