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Finding the Fourth Proportional to 3,691.74, 5,536.71 and 1,059.60

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Solution

The fourth proportional to 3,691.74, 5,536.71 and 1,059.60 is: 1,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.74 : 5,536.71 = 1,059.60 : x
  2. Step 2: Convert to fraction form
    3,691.74/5,536.71 = 1,059.60/x
  3. Step 3: Cross multiply
    3,691.74x = 5,536.71 × 1,059.60
  4. Step 4: Simplify right side
    3,691.74x = 5,866,697.92
  5. Step 5: Solve for x
    x = 5,866,697.92/3,691.74
  6. Step 6: Final answer
    x = 1,589.14

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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.