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Finding the Fourth Proportional to 5,255.95, 7,883.97 and 2,135.02

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Solution

The fourth proportional to 5,255.95, 7,883.97 and 2,135.02 is: 3,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.95 : 7,883.97 = 2,135.02 : x
  2. Step 2: Convert to fraction form
    5,255.95/7,883.97 = 2,135.02/x
  3. Step 3: Cross multiply
    5,255.95x = 7,883.97 × 2,135.02
  4. Step 4: Simplify right side
    5,255.95x = 16,832,433.63
  5. Step 5: Solve for x
    x = 16,832,433.63/5,255.95
  6. Step 6: Final answer
    x = 3,202.55

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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.