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Finding the Fourth Proportional to 6,782.65, 9,358.97 and 3,798.61

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Solution

The fourth proportional to 6,782.65, 9,358.97 and 3,798.61 is: 5,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.65 : 9,358.97 = 3,798.61 : x
  2. Step 2: Convert to fraction form
    6,782.65/9,358.97 = 3,798.61/x
  3. Step 3: Cross multiply
    6,782.65x = 9,358.97 × 3,798.61
  4. Step 4: Simplify right side
    6,782.65x = 35,551,034.64
  5. Step 5: Solve for x
    x = 35,551,034.64/6,782.65
  6. Step 6: Final answer
    x = 5,241.47

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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.