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Finding the Fourth Proportional to 3,659.45, 5,487.31 and 1,192.69

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Solution

The fourth proportional to 3,659.45, 5,487.31 and 1,192.69 is: 1,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.45 : 5,487.31 = 1,192.69 : x
  2. Step 2: Convert to fraction form
    3,659.45/5,487.31 = 1,192.69/x
  3. Step 3: Cross multiply
    3,659.45x = 5,487.31 × 1,192.69
  4. Step 4: Simplify right side
    3,659.45x = 6,544,626.36
  5. Step 5: Solve for x
    x = 6,544,626.36/3,659.45
  6. Step 6: Final answer
    x = 1,788.42

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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.