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Finding the Fourth Proportional to 5,434.71, 8,149.32 and 2,657.22

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Solution

The fourth proportional to 5,434.71, 8,149.32 and 2,657.22 is: 3,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.71 : 8,149.32 = 2,657.22 : x
  2. Step 2: Convert to fraction form
    5,434.71/8,149.32 = 2,657.22/x
  3. Step 3: Cross multiply
    5,434.71x = 8,149.32 × 2,657.22
  4. Step 4: Simplify right side
    5,434.71x = 21,654,536.09
  5. Step 5: Solve for x
    x = 21,654,536.09/5,434.71
  6. Step 6: Final answer
    x = 3,984.49

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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.