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Finding the Fourth Proportional to 6,178.75, 9,268.52 and 2,480.49

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Solution

The fourth proportional to 6,178.75, 9,268.52 and 2,480.49 is: 3,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.75 : 9,268.52 = 2,480.49 : x
  2. Step 2: Convert to fraction form
    6,178.75/9,268.52 = 2,480.49/x
  3. Step 3: Cross multiply
    6,178.75x = 9,268.52 × 2,480.49
  4. Step 4: Simplify right side
    6,178.75x = 22,990,471.17
  5. Step 5: Solve for x
    x = 22,990,471.17/6,178.75
  6. Step 6: Final answer
    x = 3,720.89

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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.