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Finding the Fourth Proportional to 3,422.91, 5,134.38 and 1,232.28

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Solution

The fourth proportional to 3,422.91, 5,134.38 and 1,232.28 is: 1,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.91 : 5,134.38 = 1,232.28 : x
  2. Step 2: Convert to fraction form
    3,422.91/5,134.38 = 1,232.28/x
  3. Step 3: Cross multiply
    3,422.91x = 5,134.38 × 1,232.28
  4. Step 4: Simplify right side
    3,422.91x = 6,326,993.79
  5. Step 5: Solve for x
    x = 6,326,993.79/3,422.91
  6. Step 6: Final answer
    x = 1,848.43

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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.