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Finding the Fourth Proportional to 3,422.70, 5,134.59 and 1,474.92

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Solution

The fourth proportional to 3,422.70, 5,134.59 and 1,474.92 is: 2,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.70 : 5,134.59 = 1,474.92 : x
  2. Step 2: Convert to fraction form
    3,422.70/5,134.59 = 1,474.92/x
  3. Step 3: Cross multiply
    3,422.70x = 5,134.59 × 1,474.92
  4. Step 4: Simplify right side
    3,422.70x = 7,573,109.48
  5. Step 5: Solve for x
    x = 7,573,109.48/3,422.70
  6. Step 6: Final answer
    x = 2,212.61

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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.