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Finding the Fourth Proportional to 2,992.92, 4,123.96 and 2,785.28

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Solution

The fourth proportional to 2,992.92, 4,123.96 and 2,785.28 is: 3,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.92 : 4,123.96 = 2,785.28 : x
  2. Step 2: Convert to fraction form
    2,992.92/4,123.96 = 2,785.28/x
  3. Step 3: Cross multiply
    2,992.92x = 4,123.96 × 2,785.28
  4. Step 4: Simplify right side
    2,992.92x = 11,486,383.31
  5. Step 5: Solve for x
    x = 11,486,383.31/2,992.92
  6. Step 6: Final answer
    x = 3,837.85

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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.