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Finding the Fourth Proportional to 3,122.73, 4,308.12 and 2,874.06

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Solution

The fourth proportional to 3,122.73, 4,308.12 and 2,874.06 is: 3,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.73 : 4,308.12 = 2,874.06 : x
  2. Step 2: Convert to fraction form
    3,122.73/4,308.12 = 2,874.06/x
  3. Step 3: Cross multiply
    3,122.73x = 4,308.12 × 2,874.06
  4. Step 4: Simplify right side
    3,122.73x = 12,381,795.37
  5. Step 5: Solve for x
    x = 12,381,795.37/3,122.73
  6. Step 6: Final answer
    x = 3,965.05

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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.