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Finding the Fourth Proportional to 3,599.50, 4,967.75 and 2,027.87

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Solution

The fourth proportional to 3,599.50, 4,967.75 and 2,027.87 is: 2,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.50 : 4,967.75 = 2,027.87 : x
  2. Step 2: Convert to fraction form
    3,599.50/4,967.75 = 2,027.87/x
  3. Step 3: Cross multiply
    3,599.50x = 4,967.75 × 2,027.87
  4. Step 4: Simplify right side
    3,599.50x = 10,073,951.19
  5. Step 5: Solve for x
    x = 10,073,951.19/3,599.50
  6. Step 6: Final answer
    x = 2,798.71

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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.