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Finding the Fourth Proportional to 3,734.90, 5,154.28 and 2,242.88

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Solution

The fourth proportional to 3,734.90, 5,154.28 and 2,242.88 is: 3,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,154.28 = 2,242.88 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,154.28 = 2,242.88/x
  3. Step 3: Cross multiply
    3,734.90x = 5,154.28 × 2,242.88
  4. Step 4: Simplify right side
    3,734.90x = 11,560,431.53
  5. Step 5: Solve for x
    x = 11,560,431.53/3,734.90
  6. Step 6: Final answer
    x = 3,095.25

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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.