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Finding the Fourth Proportional to 5,062.06, 6,984.12 and 2,965.78

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Solution

The fourth proportional to 5,062.06, 6,984.12 and 2,965.78 is: 4,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.06 : 6,984.12 = 2,965.78 : x
  2. Step 2: Convert to fraction form
    5,062.06/6,984.12 = 2,965.78/x
  3. Step 3: Cross multiply
    5,062.06x = 6,984.12 × 2,965.78
  4. Step 4: Simplify right side
    5,062.06x = 20,713,363.41
  5. Step 5: Solve for x
    x = 20,713,363.41/5,062.06
  6. Step 6: Final answer
    x = 4,091.88

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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.