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Finding the Fourth Proportional to 5,344, 8,014.98 and 1,447.88

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Solution

The fourth proportional to 5,344, 8,014.98 and 1,447.88 is: 2,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344 : 8,014.98 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    5,344/8,014.98 = 1,447.88/x
  3. Step 3: Cross multiply
    5,344x = 8,014.98 × 1,447.88
  4. Step 4: Simplify right side
    5,344x = 11,604,729.24
  5. Step 5: Solve for x
    x = 11,604,729.24/5,344
  6. Step 6: Final answer
    x = 2,171.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.