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Finding the Fourth Proportional to 5,344.40, 8,000.40 and 3,886.40

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Solution

The fourth proportional to 5,344.40, 8,000.40 and 3,886.40 is: 5,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.40 : 8,000.40 = 3,886.40 : x
  2. Step 2: Convert to fraction form
    5,344.40/8,000.40 = 3,886.40/x
  3. Step 3: Cross multiply
    5,344.40x = 8,000.40 × 3,886.40
  4. Step 4: Simplify right side
    5,344.40x = 31,092,754.56
  5. Step 5: Solve for x
    x = 31,092,754.56/5,344.40
  6. Step 6: Final answer
    x = 5,817.82

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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.