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Finding the Fourth Proportional to 3,745.30, 5,167.80 and 2,253.32

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Solution

The fourth proportional to 3,745.30, 5,167.80 and 2,253.32 is: 3,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.30 : 5,167.80 = 2,253.32 : x
  2. Step 2: Convert to fraction form
    3,745.30/5,167.80 = 2,253.32/x
  3. Step 3: Cross multiply
    3,745.30x = 5,167.80 × 2,253.32
  4. Step 4: Simplify right side
    3,745.30x = 11,644,689.95
  5. Step 5: Solve for x
    x = 11,644,689.95/3,745.30
  6. Step 6: Final answer
    x = 3,109.14

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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.