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Finding the Fourth Proportional to 3,449.75, 5,182.29 and 2,134.46

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Solution

The fourth proportional to 3,449.75, 5,182.29 and 2,134.46 is: 3,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.75 : 5,182.29 = 2,134.46 : x
  2. Step 2: Convert to fraction form
    3,449.75/5,182.29 = 2,134.46/x
  3. Step 3: Cross multiply
    3,449.75x = 5,182.29 × 2,134.46
  4. Step 4: Simplify right side
    3,449.75x = 11,061,403.67
  5. Step 5: Solve for x
    x = 11,061,403.67/3,449.75
  6. Step 6: Final answer
    x = 3,206.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.