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Finding the Fourth Proportional to 4,966.96, 6,854.31 and 2,728.78

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Solution

The fourth proportional to 4,966.96, 6,854.31 and 2,728.78 is: 3,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.96 : 6,854.31 = 2,728.78 : x
  2. Step 2: Convert to fraction form
    4,966.96/6,854.31 = 2,728.78/x
  3. Step 3: Cross multiply
    4,966.96x = 6,854.31 × 2,728.78
  4. Step 4: Simplify right side
    4,966.96x = 18,703,904.04
  5. Step 5: Solve for x
    x = 18,703,904.04/4,966.96
  6. Step 6: Final answer
    x = 3,765.66

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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.