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Finding the Fourth Proportional to 3,841.54, 5,757.56 and 1,991.58

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Solution

The fourth proportional to 3,841.54, 5,757.56 and 1,991.58 is: 2,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.54 : 5,757.56 = 1,991.58 : x
  2. Step 2: Convert to fraction form
    3,841.54/5,757.56 = 1,991.58/x
  3. Step 3: Cross multiply
    3,841.54x = 5,757.56 × 1,991.58
  4. Step 4: Simplify right side
    3,841.54x = 11,466,641.34
  5. Step 5: Solve for x
    x = 11,466,641.34/3,841.54
  6. Step 6: Final answer
    x = 2,984.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.