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Finding the Fourth Proportional to 5,326.43, 7,997.43 and 4,407.82

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Solution

The fourth proportional to 5,326.43, 7,997.43 and 4,407.82 is: 6,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.43 : 7,997.43 = 4,407.82 : x
  2. Step 2: Convert to fraction form
    5,326.43/7,997.43 = 4,407.82/x
  3. Step 3: Cross multiply
    5,326.43x = 7,997.43 × 4,407.82
  4. Step 4: Simplify right side
    5,326.43x = 35,251,228.44
  5. Step 5: Solve for x
    x = 35,251,228.44/5,326.43
  6. Step 6: Final answer
    x = 6,618.18

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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.