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Finding the Fourth Proportional to 6,781.40, 9,358.38 and 3,797.36

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Solution

The fourth proportional to 6,781.40, 9,358.38 and 3,797.36 is: 5,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.40 : 9,358.38 = 3,797.36 : x
  2. Step 2: Convert to fraction form
    6,781.40/9,358.38 = 3,797.36/x
  3. Step 3: Cross multiply
    6,781.40x = 9,358.38 × 3,797.36
  4. Step 4: Simplify right side
    6,781.40x = 35,537,091.08
  5. Step 5: Solve for x
    x = 35,537,091.08/6,781.40
  6. Step 6: Final answer
    x = 5,240.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.