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Finding the Fourth Proportional to 3,843, 5,764.86 and 1,031.79

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Solution

The fourth proportional to 3,843, 5,764.86 and 1,031.79 is: 1,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,764.86 = 1,031.79 : x
  2. Step 2: Convert to fraction form
    3,843/5,764.86 = 1,031.79/x
  3. Step 3: Cross multiply
    3,843x = 5,764.86 × 1,031.79
  4. Step 4: Simplify right side
    3,843x = 5,948,124.90
  5. Step 5: Solve for x
    x = 5,948,124.90/3,843
  6. Step 6: Final answer
    x = 1,547.78

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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.