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Finding the Fourth Proportional to 3,806.78, 5,251.82 and 2,480.00

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Solution

The fourth proportional to 3,806.78, 5,251.82 and 2,480.00 is: 3,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.78 : 5,251.82 = 2,480.00 : x
  2. Step 2: Convert to fraction form
    3,806.78/5,251.82 = 2,480.00/x
  3. Step 3: Cross multiply
    3,806.78x = 5,251.82 × 2,480.00
  4. Step 4: Simplify right side
    3,806.78x = 13,024,474.94
  5. Step 5: Solve for x
    x = 13,024,474.94/3,806.78
  6. Step 6: Final answer
    x = 3,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.