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Finding the Fourth Proportional to 4,965.66, 6,852.17 and 2,727.54

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Solution

The fourth proportional to 4,965.66, 6,852.17 and 2,727.54 is: 3,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.66 : 6,852.17 = 2,727.54 : x
  2. Step 2: Convert to fraction form
    4,965.66/6,852.17 = 2,727.54/x
  3. Step 3: Cross multiply
    4,965.66x = 6,852.17 × 2,727.54
  4. Step 4: Simplify right side
    4,965.66x = 18,689,554.12
  5. Step 5: Solve for x
    x = 18,689,554.12/4,965.66
  6. Step 6: Final answer
    x = 3,763.76

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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.