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Finding the Fourth Proportional to 4,965.69, 6,852.74 and 2,727.66

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Solution

The fourth proportional to 4,965.69, 6,852.74 and 2,727.66 is: 3,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.69 : 6,852.74 = 2,727.66 : x
  2. Step 2: Convert to fraction form
    4,965.69/6,852.74 = 2,727.66/x
  3. Step 3: Cross multiply
    4,965.69x = 6,852.74 × 2,727.66
  4. Step 4: Simplify right side
    4,965.69x = 18,691,931.15
  5. Step 5: Solve for x
    x = 18,691,931.15/4,965.69
  6. Step 6: Final answer
    x = 3,764.22

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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.