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Finding the Fourth Proportional to 3,814.68, 5,723.92 and 1,841.98

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Solution

The fourth proportional to 3,814.68, 5,723.92 and 1,841.98 is: 2,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.68 : 5,723.92 = 1,841.98 : x
  2. Step 2: Convert to fraction form
    3,814.68/5,723.92 = 1,841.98/x
  3. Step 3: Cross multiply
    3,814.68x = 5,723.92 × 1,841.98
  4. Step 4: Simplify right side
    3,814.68x = 10,543,346.16
  5. Step 5: Solve for x
    x = 10,543,346.16/3,814.68
  6. Step 6: Final answer
    x = 2,763.89

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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.