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Finding the Fourth Proportional to 3,793.08, 5,691 and 1,328.27

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Solution

The fourth proportional to 3,793.08, 5,691 and 1,328.27 is: 1,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.08 : 5,691 = 1,328.27 : x
  2. Step 2: Convert to fraction form
    3,793.08/5,691 = 1,328.27/x
  3. Step 3: Cross multiply
    3,793.08x = 5,691 × 1,328.27
  4. Step 4: Simplify right side
    3,793.08x = 7,559,184.57
  5. Step 5: Solve for x
    x = 7,559,184.57/3,793.08
  6. Step 6: Final answer
    x = 1,992.89

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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.