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Finding the Fourth Proportional to 4,965.84, 6,852.52 and 2,727.81

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Solution

The fourth proportional to 4,965.84, 6,852.52 and 2,727.81 is: 3,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.84 : 6,852.52 = 2,727.81 : x
  2. Step 2: Convert to fraction form
    4,965.84/6,852.52 = 2,727.81/x
  3. Step 3: Cross multiply
    4,965.84x = 6,852.52 × 2,727.81
  4. Step 4: Simplify right side
    4,965.84x = 18,692,372.58
  5. Step 5: Solve for x
    x = 18,692,372.58/4,965.84
  6. Step 6: Final answer
    x = 3,764.19

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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.