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Finding the Fourth Proportional to 3,996.24, 5,987.76 and 2,454

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Solution

The fourth proportional to 3,996.24, 5,987.76 and 2,454 is: 3,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.24 : 5,987.76 = 2,454 : x
  2. Step 2: Convert to fraction form
    3,996.24/5,987.76 = 2,454/x
  3. Step 3: Cross multiply
    3,996.24x = 5,987.76 × 2,454
  4. Step 4: Simplify right side
    3,996.24x = 14,693,963.04
  5. Step 5: Solve for x
    x = 14,693,963.04/3,996.24
  6. Step 6: Final answer
    x = 3,676.95

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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.