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Finding the Fourth Proportional to 4,965.60, 6,852.19 and 2,727.63

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Solution

The fourth proportional to 4,965.60, 6,852.19 and 2,727.63 is: 3,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.60 : 6,852.19 = 2,727.63 : x
  2. Step 2: Convert to fraction form
    4,965.60/6,852.19 = 2,727.63/x
  3. Step 3: Cross multiply
    4,965.60x = 6,852.19 × 2,727.63
  4. Step 4: Simplify right side
    4,965.60x = 18,690,239.01
  5. Step 5: Solve for x
    x = 18,690,239.01/4,965.60
  6. Step 6: Final answer
    x = 3,763.94

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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.