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Finding the Fourth Proportional to 3,642.52, 5,463.82 and 1,334.04

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Solution

The fourth proportional to 3,642.52, 5,463.82 and 1,334.04 is: 2,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.52 : 5,463.82 = 1,334.04 : x
  2. Step 2: Convert to fraction form
    3,642.52/5,463.82 = 1,334.04/x
  3. Step 3: Cross multiply
    3,642.52x = 5,463.82 × 1,334.04
  4. Step 4: Simplify right side
    3,642.52x = 7,288,954.43
  5. Step 5: Solve for x
    x = 7,288,954.43/3,642.52
  6. Step 6: Final answer
    x = 2,001.07

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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.