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Finding the Fourth Proportional to 3,932.52, 5,898.78 and 1,851.23

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Solution

The fourth proportional to 3,932.52, 5,898.78 and 1,851.23 is: 2,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.52 : 5,898.78 = 1,851.23 : x
  2. Step 2: Convert to fraction form
    3,932.52/5,898.78 = 1,851.23/x
  3. Step 3: Cross multiply
    3,932.52x = 5,898.78 × 1,851.23
  4. Step 4: Simplify right side
    3,932.52x = 10,919,998.50
  5. Step 5: Solve for x
    x = 10,919,998.50/3,932.52
  6. Step 6: Final answer
    x = 2,776.85

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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.