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Finding the Fourth Proportional to 3,745.12, 5,166.84 and 2,348.68

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Solution

The fourth proportional to 3,745.12, 5,166.84 and 2,348.68 is: 3,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.12 : 5,166.84 = 2,348.68 : x
  2. Step 2: Convert to fraction form
    3,745.12/5,166.84 = 2,348.68/x
  3. Step 3: Cross multiply
    3,745.12x = 5,166.84 × 2,348.68
  4. Step 4: Simplify right side
    3,745.12x = 12,135,253.77
  5. Step 5: Solve for x
    x = 12,135,253.77/3,745.12
  6. Step 6: Final answer
    x = 3,240.28

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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.