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Finding the Fourth Proportional to 6,780.40, 9,355.87 and 3,796.36

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Solution

The fourth proportional to 6,780.40, 9,355.87 and 3,796.36 is: 5,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.40 : 9,355.87 = 3,796.36 : x
  2. Step 2: Convert to fraction form
    6,780.40/9,355.87 = 3,796.36/x
  3. Step 3: Cross multiply
    6,780.40x = 9,355.87 × 3,796.36
  4. Step 4: Simplify right side
    6,780.40x = 35,518,231.99
  5. Step 5: Solve for x
    x = 35,518,231.99/6,780.40
  6. Step 6: Final answer
    x = 5,238.37

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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.