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Finding the Fourth Proportional to 4,956.12, 6,839.46 and 2,718

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Solution

The fourth proportional to 4,956.12, 6,839.46 and 2,718 is: 3,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.12 : 6,839.46 = 2,718 : x
  2. Step 2: Convert to fraction form
    4,956.12/6,839.46 = 2,718/x
  3. Step 3: Cross multiply
    4,956.12x = 6,839.46 × 2,718
  4. Step 4: Simplify right side
    4,956.12x = 18,589,652.28
  5. Step 5: Solve for x
    x = 18,589,652.28/4,956.12
  6. Step 6: Final answer
    x = 3,750.85

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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.