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Finding the Fourth Proportional to 3,745.90, 5,613.84 and 1,772.06

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Solution

The fourth proportional to 3,745.90, 5,613.84 and 1,772.06 is: 2,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.90 : 5,613.84 = 1,772.06 : x
  2. Step 2: Convert to fraction form
    3,745.90/5,613.84 = 1,772.06/x
  3. Step 3: Cross multiply
    3,745.90x = 5,613.84 × 1,772.06
  4. Step 4: Simplify right side
    3,745.90x = 9,948,033.24
  5. Step 5: Solve for x
    x = 9,948,033.24/3,745.90
  6. Step 6: Final answer
    x = 2,655.71

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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.