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Finding the Fourth Proportional to 3,728.52, 5,589 and 2,412

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Solution

The fourth proportional to 3,728.52, 5,589 and 2,412 is: 3,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.52 : 5,589 = 2,412 : x
  2. Step 2: Convert to fraction form
    3,728.52/5,589 = 2,412/x
  3. Step 3: Cross multiply
    3,728.52x = 5,589 × 2,412
  4. Step 4: Simplify right side
    3,728.52x = 13,480,668
  5. Step 5: Solve for x
    x = 13,480,668/3,728.52
  6. Step 6: Final answer
    x = 3,615.55

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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.