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Finding the Fourth Proportional to 5,249.33, 7,867.00 and 1,959.11

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Solution

The fourth proportional to 5,249.33, 7,867.00 and 1,959.11 is: 2,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.33 : 7,867.00 = 1,959.11 : x
  2. Step 2: Convert to fraction form
    5,249.33/7,867.00 = 1,959.11/x
  3. Step 3: Cross multiply
    5,249.33x = 7,867.00 × 1,959.11
  4. Step 4: Simplify right side
    5,249.33x = 15,412,274.14
  5. Step 5: Solve for x
    x = 15,412,274.14/5,249.33
  6. Step 6: Final answer
    x = 2,936.05

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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.