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Finding the Fourth Proportional to 5,512.84, 8,269.23 and 2,002.84

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Solution

The fourth proportional to 5,512.84, 8,269.23 and 2,002.84 is: 3,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.84 : 8,269.23 = 2,002.84 : x
  2. Step 2: Convert to fraction form
    5,512.84/8,269.23 = 2,002.84/x
  3. Step 3: Cross multiply
    5,512.84x = 8,269.23 × 2,002.84
  4. Step 4: Simplify right side
    5,512.84x = 16,561,944.61
  5. Step 5: Solve for x
    x = 16,561,944.61/5,512.84
  6. Step 6: Final answer
    x = 3,004.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.