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Finding the Fourth Proportional to 3,635.82, 5,463.09 and 3,534.21

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Solution

The fourth proportional to 3,635.82, 5,463.09 and 3,534.21 is: 5,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.82 : 5,463.09 = 3,534.21 : x
  2. Step 2: Convert to fraction form
    3,635.82/5,463.09 = 3,534.21/x
  3. Step 3: Cross multiply
    3,635.82x = 5,463.09 × 3,534.21
  4. Step 4: Simplify right side
    3,635.82x = 19,307,707.31
  5. Step 5: Solve for x
    x = 19,307,707.31/3,635.82
  6. Step 6: Final answer
    x = 5,310.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.