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Finding the Fourth Proportional to 3,855.52, 5,781.66 and 1,515.16

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Solution

The fourth proportional to 3,855.52, 5,781.66 and 1,515.16 is: 2,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.52 : 5,781.66 = 1,515.16 : x
  2. Step 2: Convert to fraction form
    3,855.52/5,781.66 = 1,515.16/x
  3. Step 3: Cross multiply
    3,855.52x = 5,781.66 × 1,515.16
  4. Step 4: Simplify right side
    3,855.52x = 8,760,139.97
  5. Step 5: Solve for x
    x = 8,760,139.97/3,855.52
  6. Step 6: Final answer
    x = 2,272.10

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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.