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Finding the Fourth Proportional to 2,805.72, 3,877.92 and 2,105.88

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Solution

The fourth proportional to 2,805.72, 3,877.92 and 2,105.88 is: 2,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.72 : 3,877.92 = 2,105.88 : x
  2. Step 2: Convert to fraction form
    2,805.72/3,877.92 = 2,105.88/x
  3. Step 3: Cross multiply
    2,805.72x = 3,877.92 × 2,105.88
  4. Step 4: Simplify right side
    2,805.72x = 8,166,434.17
  5. Step 5: Solve for x
    x = 8,166,434.17/2,805.72
  6. Step 6: Final answer
    x = 2,910.64

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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.