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Finding the Fourth Proportional to 5,827.78, 8,045.31 and 3,949.29

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Solution

The fourth proportional to 5,827.78, 8,045.31 and 3,949.29 is: 5,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.78 : 8,045.31 = 3,949.29 : x
  2. Step 2: Convert to fraction form
    5,827.78/8,045.31 = 3,949.29/x
  3. Step 3: Cross multiply
    5,827.78x = 8,045.31 × 3,949.29
  4. Step 4: Simplify right side
    5,827.78x = 31,773,262.33
  5. Step 5: Solve for x
    x = 31,773,262.33/5,827.78
  6. Step 6: Final answer
    x = 5,452.04

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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.