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Finding the Fourth Proportional to 3,744.72, 5,168.88 and 2,348.28

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Solution

The fourth proportional to 3,744.72, 5,168.88 and 2,348.28 is: 3,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.72 : 5,168.88 = 2,348.28 : x
  2. Step 2: Convert to fraction form
    3,744.72/5,168.88 = 2,348.28/x
  3. Step 3: Cross multiply
    3,744.72x = 5,168.88 × 2,348.28
  4. Step 4: Simplify right side
    3,744.72x = 12,137,977.53
  5. Step 5: Solve for x
    x = 12,137,977.53/3,744.72
  6. Step 6: Final answer
    x = 3,241.36

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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.