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Finding the Fourth Proportional to 3,691.32, 5,536.80 and 1,583.04

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Solution

The fourth proportional to 3,691.32, 5,536.80 and 1,583.04 is: 2,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.32 : 5,536.80 = 1,583.04 : x
  2. Step 2: Convert to fraction form
    3,691.32/5,536.80 = 1,583.04/x
  3. Step 3: Cross multiply
    3,691.32x = 5,536.80 × 1,583.04
  4. Step 4: Simplify right side
    3,691.32x = 8,764,975.87
  5. Step 5: Solve for x
    x = 8,764,975.87/3,691.32
  6. Step 6: Final answer
    x = 2,374.48

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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.