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Finding the Fourth Proportional to 6,178.39, 9,268.74 and 2,480.91

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Solution

The fourth proportional to 6,178.39, 9,268.74 and 2,480.91 is: 3,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.39 : 9,268.74 = 2,480.91 : x
  2. Step 2: Convert to fraction form
    6,178.39/9,268.74 = 2,480.91/x
  3. Step 3: Cross multiply
    6,178.39x = 9,268.74 × 2,480.91
  4. Step 4: Simplify right side
    6,178.39x = 22,994,909.75
  5. Step 5: Solve for x
    x = 22,994,909.75/6,178.39
  6. Step 6: Final answer
    x = 3,721.83

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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.