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Finding the Fourth Proportional to 3,794.48, 5,691.78 and 1,486.52

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Solution

The fourth proportional to 3,794.48, 5,691.78 and 1,486.52 is: 2,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.48 : 5,691.78 = 1,486.52 : x
  2. Step 2: Convert to fraction form
    3,794.48/5,691.78 = 1,486.52/x
  3. Step 3: Cross multiply
    3,794.48x = 5,691.78 × 1,486.52
  4. Step 4: Simplify right side
    3,794.48x = 8,460,944.81
  5. Step 5: Solve for x
    x = 8,460,944.81/3,794.48
  6. Step 6: Final answer
    x = 2,229.80

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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.