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Finding the Fourth Proportional to 5,503.50, 8,251.32 and 2,580.21

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Solution

The fourth proportional to 5,503.50, 8,251.32 and 2,580.21 is: 3,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.50 : 8,251.32 = 2,580.21 : x
  2. Step 2: Convert to fraction form
    5,503.50/8,251.32 = 2,580.21/x
  3. Step 3: Cross multiply
    5,503.50x = 8,251.32 × 2,580.21
  4. Step 4: Simplify right side
    5,503.50x = 21,290,138.38
  5. Step 5: Solve for x
    x = 21,290,138.38/5,503.50
  6. Step 6: Final answer
    x = 3,868.47

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Why These Related Problems?

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