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Finding the Fourth Proportional to 2,862.12, 3,965.08 and 2,794.08

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Solution

The fourth proportional to 2,862.12, 3,965.08 and 2,794.08 is: 3,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.12 : 3,965.08 = 2,794.08 : x
  2. Step 2: Convert to fraction form
    2,862.12/3,965.08 = 2,794.08/x
  3. Step 3: Cross multiply
    2,862.12x = 3,965.08 × 2,794.08
  4. Step 4: Simplify right side
    2,862.12x = 11,078,750.73
  5. Step 5: Solve for x
    x = 11,078,750.73/2,862.12
  6. Step 6: Final answer
    x = 3,870.82

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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.