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Finding the Fourth Proportional to 4,777.71, 6,593.54 and 3,181.61

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Solution

The fourth proportional to 4,777.71, 6,593.54 and 3,181.61 is: 4,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.71 : 6,593.54 = 3,181.61 : x
  2. Step 2: Convert to fraction form
    4,777.71/6,593.54 = 3,181.61/x
  3. Step 3: Cross multiply
    4,777.71x = 6,593.54 × 3,181.61
  4. Step 4: Simplify right side
    4,777.71x = 20,978,023.92
  5. Step 5: Solve for x
    x = 20,978,023.92/4,777.71
  6. Step 6: Final answer
    x = 4,390.81

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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.