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Finding the Fourth Proportional to 3,759.60, 5,639.36 and 1,162.56

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Solution

The fourth proportional to 3,759.60, 5,639.36 and 1,162.56 is: 1,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.60 : 5,639.36 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    3,759.60/5,639.36 = 1,162.56/x
  3. Step 3: Cross multiply
    3,759.60x = 5,639.36 × 1,162.56
  4. Step 4: Simplify right side
    3,759.60x = 6,556,094.36
  5. Step 5: Solve for x
    x = 6,556,094.36/3,759.60
  6. Step 6: Final answer
    x = 1,743.83

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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.