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Finding the Fourth Proportional to 3,277.52, 4,524.51 and 2,099.27

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Solution

The fourth proportional to 3,277.52, 4,524.51 and 2,099.27 is: 2,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.52 : 4,524.51 = 2,099.27 : x
  2. Step 2: Convert to fraction form
    3,277.52/4,524.51 = 2,099.27/x
  3. Step 3: Cross multiply
    3,277.52x = 4,524.51 × 2,099.27
  4. Step 4: Simplify right side
    3,277.52x = 9,498,145.49
  5. Step 5: Solve for x
    x = 9,498,145.49/3,277.52
  6. Step 6: Final answer
    x = 2,897.96

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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.