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Finding the Fourth Proportional to 3,601.59, 5,399.73 and 1,409.19

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Solution

The fourth proportional to 3,601.59, 5,399.73 and 1,409.19 is: 2,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.59 : 5,399.73 = 1,409.19 : x
  2. Step 2: Convert to fraction form
    3,601.59/5,399.73 = 1,409.19/x
  3. Step 3: Cross multiply
    3,601.59x = 5,399.73 × 1,409.19
  4. Step 4: Simplify right side
    3,601.59x = 7,609,245.52
  5. Step 5: Solve for x
    x = 7,609,245.52/3,601.59
  6. Step 6: Final answer
    x = 2,112.75

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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.