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Finding the Fourth Proportional to 4,777.92, 6,593.76 and 2,682.24

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Solution

The fourth proportional to 4,777.92, 6,593.76 and 2,682.24 is: 3,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.92 : 6,593.76 = 2,682.24 : x
  2. Step 2: Convert to fraction form
    4,777.92/6,593.76 = 2,682.24/x
  3. Step 3: Cross multiply
    4,777.92x = 6,593.76 × 2,682.24
  4. Step 4: Simplify right side
    4,777.92x = 17,686,046.82
  5. Step 5: Solve for x
    x = 17,686,046.82/4,777.92
  6. Step 6: Final answer
    x = 3,701.62

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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.