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Finding the Fourth Proportional to 3,745.22, 5,169.57 and 2,348.78

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Solution

The fourth proportional to 3,745.22, 5,169.57 and 2,348.78 is: 3,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.22 : 5,169.57 = 2,348.78 : x
  2. Step 2: Convert to fraction form
    3,745.22/5,169.57 = 2,348.78/x
  3. Step 3: Cross multiply
    3,745.22x = 5,169.57 × 2,348.78
  4. Step 4: Simplify right side
    3,745.22x = 12,142,182.62
  5. Step 5: Solve for x
    x = 12,142,182.62/3,745.22
  6. Step 6: Final answer
    x = 3,242.05

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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.