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Finding the Fourth Proportional to 4,965.61, 6,852.55 and 2,727.63

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Solution

The fourth proportional to 4,965.61, 6,852.55 and 2,727.63 is: 3,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.61 : 6,852.55 = 2,727.63 : x
  2. Step 2: Convert to fraction form
    4,965.61/6,852.55 = 2,727.63/x
  3. Step 3: Cross multiply
    4,965.61x = 6,852.55 × 2,727.63
  4. Step 4: Simplify right side
    4,965.61x = 18,691,220.96
  5. Step 5: Solve for x
    x = 18,691,220.96/4,965.61
  6. Step 6: Final answer
    x = 3,764.13

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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.