Home / 3,834.14-5,743.32-2,269.40

Finding the Fourth Proportional to 3,834.14, 5,743.32 and 2,269.40

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Solution

The fourth proportional to 3,834.14, 5,743.32 and 2,269.40 is: 3,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.14 : 5,743.32 = 2,269.40 : x
  2. Step 2: Convert to fraction form
    3,834.14/5,743.32 = 2,269.40/x
  3. Step 3: Cross multiply
    3,834.14x = 5,743.32 × 2,269.40
  4. Step 4: Simplify right side
    3,834.14x = 13,033,890.41
  5. Step 5: Solve for x
    x = 13,033,890.41/3,834.14
  6. Step 6: Final answer
    x = 3,399.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.