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Finding the Fourth Proportional to 3,634.68, 5,452.92 and 1,037.64

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Solution

The fourth proportional to 3,634.68, 5,452.92 and 1,037.64 is: 1,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.68 : 5,452.92 = 1,037.64 : x
  2. Step 2: Convert to fraction form
    3,634.68/5,452.92 = 1,037.64/x
  3. Step 3: Cross multiply
    3,634.68x = 5,452.92 × 1,037.64
  4. Step 4: Simplify right side
    3,634.68x = 5,658,167.91
  5. Step 5: Solve for x
    x = 5,658,167.91/3,634.68
  6. Step 6: Final answer
    x = 1,556.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.