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Finding the Fourth Proportional to 5,632.62, 7,772.46 and 3,274.92

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Solution

The fourth proportional to 5,632.62, 7,772.46 and 3,274.92 is: 4,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.62 : 7,772.46 = 3,274.92 : x
  2. Step 2: Convert to fraction form
    5,632.62/7,772.46 = 3,274.92/x
  3. Step 3: Cross multiply
    5,632.62x = 7,772.46 × 3,274.92
  4. Step 4: Simplify right side
    5,632.62x = 25,454,184.70
  5. Step 5: Solve for x
    x = 25,454,184.70/5,632.62
  6. Step 6: Final answer
    x = 4,519.07

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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.