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Finding the Fourth Proportional to 5,599.75, 7,727.69 and 3,115.75

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Solution

The fourth proportional to 5,599.75, 7,727.69 and 3,115.75 is: 4,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.75 : 7,727.69 = 3,115.75 : x
  2. Step 2: Convert to fraction form
    5,599.75/7,727.69 = 3,115.75/x
  3. Step 3: Cross multiply
    5,599.75x = 7,727.69 × 3,115.75
  4. Step 4: Simplify right side
    5,599.75x = 24,077,550.12
  5. Step 5: Solve for x
    x = 24,077,550.12/5,599.75
  6. Step 6: Final answer
    x = 4,299.75

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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.