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Finding the Fourth Proportional to 3,471.66, 5,209.44 and 1,523.82

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Solution

The fourth proportional to 3,471.66, 5,209.44 and 1,523.82 is: 2,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.66 : 5,209.44 = 1,523.82 : x
  2. Step 2: Convert to fraction form
    3,471.66/5,209.44 = 1,523.82/x
  3. Step 3: Cross multiply
    3,471.66x = 5,209.44 × 1,523.82
  4. Step 4: Simplify right side
    3,471.66x = 7,938,248.86
  5. Step 5: Solve for x
    x = 7,938,248.86/3,471.66
  6. Step 6: Final answer
    x = 2,286.59

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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.