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Finding the Fourth Proportional to 4,149.69, 5,720.38 and 2,657.26

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Solution

The fourth proportional to 4,149.69, 5,720.38 and 2,657.26 is: 3,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.69 : 5,720.38 = 2,657.26 : x
  2. Step 2: Convert to fraction form
    4,149.69/5,720.38 = 2,657.26/x
  3. Step 3: Cross multiply
    4,149.69x = 5,720.38 × 2,657.26
  4. Step 4: Simplify right side
    4,149.69x = 15,200,536.96
  5. Step 5: Solve for x
    x = 15,200,536.96/4,149.69
  6. Step 6: Final answer
    x = 3,663.05

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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.