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Finding the Fourth Proportional to 3,814.72, 5,723.39 and 1,594.73

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Solution

The fourth proportional to 3,814.72, 5,723.39 and 1,594.73 is: 2,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.72 : 5,723.39 = 1,594.73 : x
  2. Step 2: Convert to fraction form
    3,814.72/5,723.39 = 1,594.73/x
  3. Step 3: Cross multiply
    3,814.72x = 5,723.39 × 1,594.73
  4. Step 4: Simplify right side
    3,814.72x = 9,127,280.03
  5. Step 5: Solve for x
    x = 9,127,280.03/3,814.72
  6. Step 6: Final answer
    x = 2,392.65

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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.