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Finding the Fourth Proportional to 3,959.75, 5,464.49 and 2,191.39

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Solution

The fourth proportional to 3,959.75, 5,464.49 and 2,191.39 is: 3,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.75 : 5,464.49 = 2,191.39 : x
  2. Step 2: Convert to fraction form
    3,959.75/5,464.49 = 2,191.39/x
  3. Step 3: Cross multiply
    3,959.75x = 5,464.49 × 2,191.39
  4. Step 4: Simplify right side
    3,959.75x = 11,974,790.46
  5. Step 5: Solve for x
    x = 11,974,790.46/3,959.75
  6. Step 6: Final answer
    x = 3,024.13

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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.