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Finding the Fourth Proportional to 4,966.80, 6,854.14 and 2,728.70

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Solution

The fourth proportional to 4,966.80, 6,854.14 and 2,728.70 is: 3,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.80 : 6,854.14 = 2,728.70 : x
  2. Step 2: Convert to fraction form
    4,966.80/6,854.14 = 2,728.70/x
  3. Step 3: Cross multiply
    4,966.80x = 6,854.14 × 2,728.70
  4. Step 4: Simplify right side
    4,966.80x = 18,702,891.82
  5. Step 5: Solve for x
    x = 18,702,891.82/4,966.80
  6. Step 6: Final answer
    x = 3,765.58

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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.