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Finding the Fourth Proportional to 3,699.25, 5,546.14 and 2,238.08

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Solution

The fourth proportional to 3,699.25, 5,546.14 and 2,238.08 is: 3,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.25 : 5,546.14 = 2,238.08 : x
  2. Step 2: Convert to fraction form
    3,699.25/5,546.14 = 2,238.08/x
  3. Step 3: Cross multiply
    3,699.25x = 5,546.14 × 2,238.08
  4. Step 4: Simplify right side
    3,699.25x = 12,412,705.01
  5. Step 5: Solve for x
    x = 12,412,705.01/3,699.25
  6. Step 6: Final answer
    x = 3,355.47

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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.