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Finding the Fourth Proportional to 4,151.69, 5,729.91 and 2,384

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Solution

The fourth proportional to 4,151.69, 5,729.91 and 2,384 is: 3,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.69 : 5,729.91 = 2,384 : x
  2. Step 2: Convert to fraction form
    4,151.69/5,729.91 = 2,384/x
  3. Step 3: Cross multiply
    4,151.69x = 5,729.91 × 2,384
  4. Step 4: Simplify right side
    4,151.69x = 13,660,105.44
  5. Step 5: Solve for x
    x = 13,660,105.44/4,151.69
  6. Step 6: Final answer
    x = 3,290.25

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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.