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Finding the Fourth Proportional to 3,846.29, 5,308.13 and 2,231.53

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Solution

The fourth proportional to 3,846.29, 5,308.13 and 2,231.53 is: 3,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.29 : 5,308.13 = 2,231.53 : x
  2. Step 2: Convert to fraction form
    3,846.29/5,308.13 = 2,231.53/x
  3. Step 3: Cross multiply
    3,846.29x = 5,308.13 × 2,231.53
  4. Step 4: Simplify right side
    3,846.29x = 11,845,251.34
  5. Step 5: Solve for x
    x = 11,845,251.34/3,846.29
  6. Step 6: Final answer
    x = 3,079.66

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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.