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Finding the Fourth Proportional to 4,080, 6,117.60 and 2,227.92

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Solution

The fourth proportional to 4,080, 6,117.60 and 2,227.92 is: 3,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 6,117.60 = 2,227.92 : x
  2. Step 2: Convert to fraction form
    4,080/6,117.60 = 2,227.92/x
  3. Step 3: Cross multiply
    4,080x = 6,117.60 × 2,227.92
  4. Step 4: Simplify right side
    4,080x = 13,629,523.39
  5. Step 5: Solve for x
    x = 13,629,523.39/4,080
  6. Step 6: Final answer
    x = 3,340.57

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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.