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Finding the Fourth Proportional to 3,831, 5,747.98 and 1,492.65

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Solution

The fourth proportional to 3,831, 5,747.98 and 1,492.65 is: 2,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 5,747.98 = 1,492.65 : x
  2. Step 2: Convert to fraction form
    3,831/5,747.98 = 1,492.65/x
  3. Step 3: Cross multiply
    3,831x = 5,747.98 × 1,492.65
  4. Step 4: Simplify right side
    3,831x = 8,579,722.35
  5. Step 5: Solve for x
    x = 8,579,722.35/3,831
  6. Step 6: Final answer
    x = 2,239.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.