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Finding the Fourth Proportional to 3,599.26, 4,965.74 and 2,182.56

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Solution

The fourth proportional to 3,599.26, 4,965.74 and 2,182.56 is: 3,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.26 : 4,965.74 = 2,182.56 : x
  2. Step 2: Convert to fraction form
    3,599.26/4,965.74 = 2,182.56/x
  3. Step 3: Cross multiply
    3,599.26x = 4,965.74 × 2,182.56
  4. Step 4: Simplify right side
    3,599.26x = 10,838,025.49
  5. Step 5: Solve for x
    x = 10,838,025.49/3,599.26
  6. Step 6: Final answer
    x = 3,011.18

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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.