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Finding the Fourth Proportional to 6,191.50, 8,544.28 and 3,397

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Solution

The fourth proportional to 6,191.50, 8,544.28 and 3,397 is: 4,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.50 : 8,544.28 = 3,397 : x
  2. Step 2: Convert to fraction form
    6,191.50/8,544.28 = 3,397/x
  3. Step 3: Cross multiply
    6,191.50x = 8,544.28 × 3,397
  4. Step 4: Simplify right side
    6,191.50x = 29,024,919.16
  5. Step 5: Solve for x
    x = 29,024,919.16/6,191.50
  6. Step 6: Final answer
    x = 4,687.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.