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Finding the Fourth Proportional to 3,449.34, 4,757.31 and 2,254.23

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Solution

The fourth proportional to 3,449.34, 4,757.31 and 2,254.23 is: 3,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.34 : 4,757.31 = 2,254.23 : x
  2. Step 2: Convert to fraction form
    3,449.34/4,757.31 = 2,254.23/x
  3. Step 3: Cross multiply
    3,449.34x = 4,757.31 × 2,254.23
  4. Step 4: Simplify right side
    3,449.34x = 10,724,070.92
  5. Step 5: Solve for x
    x = 10,724,070.92/3,449.34
  6. Step 6: Final answer
    x = 3,109.02

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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.