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Finding the Fourth Proportional to 5,343.32, 8,014.06 and 1,446.82

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Solution

The fourth proportional to 5,343.32, 8,014.06 and 1,446.82 is: 2,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.32 : 8,014.06 = 1,446.82 : x
  2. Step 2: Convert to fraction form
    5,343.32/8,014.06 = 1,446.82/x
  3. Step 3: Cross multiply
    5,343.32x = 8,014.06 × 1,446.82
  4. Step 4: Simplify right side
    5,343.32x = 11,594,902.29
  5. Step 5: Solve for x
    x = 11,594,902.29/5,343.32
  6. Step 6: Final answer
    x = 2,169.98

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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.