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Finding the Fourth Proportional to 3,906.23, 5,852.51 and 3,252.30

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Solution

The fourth proportional to 3,906.23, 5,852.51 and 3,252.30 is: 4,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.23 : 5,852.51 = 3,252.30 : x
  2. Step 2: Convert to fraction form
    3,906.23/5,852.51 = 3,252.30/x
  3. Step 3: Cross multiply
    3,906.23x = 5,852.51 × 3,252.30
  4. Step 4: Simplify right side
    3,906.23x = 19,034,092.26
  5. Step 5: Solve for x
    x = 19,034,092.26/3,906.23
  6. Step 6: Final answer
    x = 4,872.76

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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.