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Finding the Fourth Proportional to 6,149.60, 9,217.20 and 2,855.75

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Solution

The fourth proportional to 6,149.60, 9,217.20 and 2,855.75 is: 4,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.60 : 9,217.20 = 2,855.75 : x
  2. Step 2: Convert to fraction form
    6,149.60/9,217.20 = 2,855.75/x
  3. Step 3: Cross multiply
    6,149.60x = 9,217.20 × 2,855.75
  4. Step 4: Simplify right side
    6,149.60x = 26,322,018.90
  5. Step 5: Solve for x
    x = 26,322,018.90/6,149.60
  6. Step 6: Final answer
    x = 4,280.28

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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.