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Finding the Fourth Proportional to 5,599.72, 7,727.20 and 3,081.76

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Solution

The fourth proportional to 5,599.72, 7,727.20 and 3,081.76 is: 4,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.72 : 7,727.20 = 3,081.76 : x
  2. Step 2: Convert to fraction form
    5,599.72/7,727.20 = 3,081.76/x
  3. Step 3: Cross multiply
    5,599.72x = 7,727.20 × 3,081.76
  4. Step 4: Simplify right side
    5,599.72x = 23,813,375.87
  5. Step 5: Solve for x
    x = 23,813,375.87/5,599.72
  6. Step 6: Final answer
    x = 4,252.60

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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.