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Finding the Fourth Proportional to 3,732.62, 5,583.53 and 3,067.00

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Solution

The fourth proportional to 3,732.62, 5,583.53 and 3,067.00 is: 4,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.62 : 5,583.53 = 3,067.00 : x
  2. Step 2: Convert to fraction form
    3,732.62/5,583.53 = 3,067.00/x
  3. Step 3: Cross multiply
    3,732.62x = 5,583.53 × 3,067.00
  4. Step 4: Simplify right side
    3,732.62x = 17,124,680.22
  5. Step 5: Solve for x
    x = 17,124,680.22/3,732.62
  6. Step 6: Final answer
    x = 4,587.85

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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.