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Finding the Fourth Proportional to 3,791.52, 5,689.44 and 2,493.60

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Solution

The fourth proportional to 3,791.52, 5,689.44 and 2,493.60 is: 3,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.52 : 5,689.44 = 2,493.60 : x
  2. Step 2: Convert to fraction form
    3,791.52/5,689.44 = 2,493.60/x
  3. Step 3: Cross multiply
    3,791.52x = 5,689.44 × 2,493.60
  4. Step 4: Simplify right side
    3,791.52x = 14,187,187.58
  5. Step 5: Solve for x
    x = 14,187,187.58/3,791.52
  6. Step 6: Final answer
    x = 3,741.82

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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.