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Finding the Fourth Proportional to 4,193.76, 5,789.52 and 2,868

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Solution

The fourth proportional to 4,193.76, 5,789.52 and 2,868 is: 3,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.76 : 5,789.52 = 2,868 : x
  2. Step 2: Convert to fraction form
    4,193.76/5,789.52 = 2,868/x
  3. Step 3: Cross multiply
    4,193.76x = 5,789.52 × 2,868
  4. Step 4: Simplify right side
    4,193.76x = 16,604,343.36
  5. Step 5: Solve for x
    x = 16,604,343.36/4,193.76
  6. Step 6: Final answer
    x = 3,959.30

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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.