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Finding the Fourth Proportional to 3,839.26, 5,758.86 and 1,499.50

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Solution

The fourth proportional to 3,839.26, 5,758.86 and 1,499.50 is: 2,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.26 : 5,758.86 = 1,499.50 : x
  2. Step 2: Convert to fraction form
    3,839.26/5,758.86 = 1,499.50/x
  3. Step 3: Cross multiply
    3,839.26x = 5,758.86 × 1,499.50
  4. Step 4: Simplify right side
    3,839.26x = 8,635,397.86
  5. Step 5: Solve for x
    x = 8,635,397.86/3,839.26
  6. Step 6: Final answer
    x = 2,249.24

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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.