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Finding the Fourth Proportional to 3,725.62, 5,583.15 and 2,744.02

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Solution

The fourth proportional to 3,725.62, 5,583.15 and 2,744.02 is: 4,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.62 : 5,583.15 = 2,744.02 : x
  2. Step 2: Convert to fraction form
    3,725.62/5,583.15 = 2,744.02/x
  3. Step 3: Cross multiply
    3,725.62x = 5,583.15 × 2,744.02
  4. Step 4: Simplify right side
    3,725.62x = 15,320,275.26
  5. Step 5: Solve for x
    x = 15,320,275.26/3,725.62
  6. Step 6: Final answer
    x = 4,112.14

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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.