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Finding the Fourth Proportional to 3,793.36, 5,687.66 and 1,159.99

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Solution

The fourth proportional to 3,793.36, 5,687.66 and 1,159.99 is: 1,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.36 : 5,687.66 = 1,159.99 : x
  2. Step 2: Convert to fraction form
    3,793.36/5,687.66 = 1,159.99/x
  3. Step 3: Cross multiply
    3,793.36x = 5,687.66 × 1,159.99
  4. Step 4: Simplify right side
    3,793.36x = 6,597,628.72
  5. Step 5: Solve for x
    x = 6,597,628.72/3,793.36
  6. Step 6: Final answer
    x = 1,739.26

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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.