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Finding the Fourth Proportional to 3,959.24, 5,932.70 and 1,492.71

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Solution

The fourth proportional to 3,959.24, 5,932.70 and 1,492.71 is: 2,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.24 : 5,932.70 = 1,492.71 : x
  2. Step 2: Convert to fraction form
    3,959.24/5,932.70 = 1,492.71/x
  3. Step 3: Cross multiply
    3,959.24x = 5,932.70 × 1,492.71
  4. Step 4: Simplify right side
    3,959.24x = 8,855,798.75
  5. Step 5: Solve for x
    x = 8,855,798.75/3,959.24
  6. Step 6: Final answer
    x = 2,236.74

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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.