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Finding the Fourth Proportional to 5,874.89, 8,100.71 and 3,747.58

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Solution

The fourth proportional to 5,874.89, 8,100.71 and 3,747.58 is: 5,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.89 : 8,100.71 = 3,747.58 : x
  2. Step 2: Convert to fraction form
    5,874.89/8,100.71 = 3,747.58/x
  3. Step 3: Cross multiply
    5,874.89x = 8,100.71 × 3,747.58
  4. Step 4: Simplify right side
    5,874.89x = 30,357,999.54
  5. Step 5: Solve for x
    x = 30,357,999.54/5,874.89
  6. Step 6: Final answer
    x = 5,167.42

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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.