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Finding the Fourth Proportional to 2,824.80, 3,925.16 and 2,794.42

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Solution

The fourth proportional to 2,824.80, 3,925.16 and 2,794.42 is: 3,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.80 : 3,925.16 = 2,794.42 : x
  2. Step 2: Convert to fraction form
    2,824.80/3,925.16 = 2,794.42/x
  3. Step 3: Cross multiply
    2,824.80x = 3,925.16 × 2,794.42
  4. Step 4: Simplify right side
    2,824.80x = 10,968,545.61
  5. Step 5: Solve for x
    x = 10,968,545.61/2,824.80
  6. Step 6: Final answer
    x = 3,882.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.