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Finding the Fourth Proportional to 3,523.70, 4,864.86 and 3,189.38

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Solution

The fourth proportional to 3,523.70, 4,864.86 and 3,189.38 is: 4,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.70 : 4,864.86 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    3,523.70/4,864.86 = 3,189.38/x
  3. Step 3: Cross multiply
    3,523.70x = 4,864.86 × 3,189.38
  4. Step 4: Simplify right side
    3,523.70x = 15,515,862.86
  5. Step 5: Solve for x
    x = 15,515,862.86/3,523.70
  6. Step 6: Final answer
    x = 4,403.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.