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Finding the Fourth Proportional to 5,997.71, 8,277.29 and 3,480.68

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Solution

The fourth proportional to 5,997.71, 8,277.29 and 3,480.68 is: 4,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.71 : 8,277.29 = 3,480.68 : x
  2. Step 2: Convert to fraction form
    5,997.71/8,277.29 = 3,480.68/x
  3. Step 3: Cross multiply
    5,997.71x = 8,277.29 × 3,480.68
  4. Step 4: Simplify right side
    5,997.71x = 28,810,538.97
  5. Step 5: Solve for x
    x = 28,810,538.97/5,997.71
  6. Step 6: Final answer
    x = 4,803.59

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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.