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Finding the Fourth Proportional to 3,745.22, 5,167.80 and 2,252.78

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Solution

The fourth proportional to 3,745.22, 5,167.80 and 2,252.78 is: 3,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.22 : 5,167.80 = 2,252.78 : x
  2. Step 2: Convert to fraction form
    3,745.22/5,167.80 = 2,252.78/x
  3. Step 3: Cross multiply
    3,745.22x = 5,167.80 × 2,252.78
  4. Step 4: Simplify right side
    3,745.22x = 11,641,916.48
  5. Step 5: Solve for x
    x = 11,641,916.48/3,745.22
  6. Step 6: Final answer
    x = 3,108.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.