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Finding the Fourth Proportional to 5,512.49, 8,266 and 2,002.35

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Solution

The fourth proportional to 5,512.49, 8,266 and 2,002.35 is: 3,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.49 : 8,266 = 2,002.35 : x
  2. Step 2: Convert to fraction form
    5,512.49/8,266 = 2,002.35/x
  3. Step 3: Cross multiply
    5,512.49x = 8,266 × 2,002.35
  4. Step 4: Simplify right side
    5,512.49x = 16,551,425.10
  5. Step 5: Solve for x
    x = 16,551,425.10/5,512.49
  6. Step 6: Final answer
    x = 3,002.53

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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.