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Finding the Fourth Proportional to 3,922.80, 5,842.32 and 3,877.44

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Solution

The fourth proportional to 3,922.80, 5,842.32 and 3,877.44 is: 5,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.80 : 5,842.32 = 3,877.44 : x
  2. Step 2: Convert to fraction form
    3,922.80/5,842.32 = 3,877.44/x
  3. Step 3: Cross multiply
    3,922.80x = 5,842.32 × 3,877.44
  4. Step 4: Simplify right side
    3,922.80x = 22,653,245.26
  5. Step 5: Solve for x
    x = 22,653,245.26/3,922.80
  6. Step 6: Final answer
    x = 5,774.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.