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Finding the Fourth Proportional to 5,540.82, 7,645.29 and 3,302.91

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Solution

The fourth proportional to 5,540.82, 7,645.29 and 3,302.91 is: 4,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.82 : 7,645.29 = 3,302.91 : x
  2. Step 2: Convert to fraction form
    5,540.82/7,645.29 = 3,302.91/x
  3. Step 3: Cross multiply
    5,540.82x = 7,645.29 × 3,302.91
  4. Step 4: Simplify right side
    5,540.82x = 25,251,717.18
  5. Step 5: Solve for x
    x = 25,251,717.18/5,540.82
  6. Step 6: Final answer
    x = 4,557.39

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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.