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Finding the Fourth Proportional to 5,635.82, 7,781.26 and 3,512.20

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Solution

The fourth proportional to 5,635.82, 7,781.26 and 3,512.20 is: 4,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.82 : 7,781.26 = 3,512.20 : x
  2. Step 2: Convert to fraction form
    5,635.82/7,781.26 = 3,512.20/x
  3. Step 3: Cross multiply
    5,635.82x = 7,781.26 × 3,512.20
  4. Step 4: Simplify right side
    5,635.82x = 27,329,341.37
  5. Step 5: Solve for x
    x = 27,329,341.37/5,635.82
  6. Step 6: Final answer
    x = 4,849.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.