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Finding the Fourth Proportional to 3,422.64, 5,134.86 and 1,474.38

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Solution

The fourth proportional to 3,422.64, 5,134.86 and 1,474.38 is: 2,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.64 : 5,134.86 = 1,474.38 : x
  2. Step 2: Convert to fraction form
    3,422.64/5,134.86 = 1,474.38/x
  3. Step 3: Cross multiply
    3,422.64x = 5,134.86 × 1,474.38
  4. Step 4: Simplify right side
    3,422.64x = 7,570,734.89
  5. Step 5: Solve for x
    x = 7,570,734.89/3,422.64
  6. Step 6: Final answer
    x = 2,211.96

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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.