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Finding the Fourth Proportional to 6,805.52, 9,392.16 and 3,822

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Solution

The fourth proportional to 6,805.52, 9,392.16 and 3,822 is: 5,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.52 : 9,392.16 = 3,822 : x
  2. Step 2: Convert to fraction form
    6,805.52/9,392.16 = 3,822/x
  3. Step 3: Cross multiply
    6,805.52x = 9,392.16 × 3,822
  4. Step 4: Simplify right side
    6,805.52x = 35,896,835.52
  5. Step 5: Solve for x
    x = 35,896,835.52/6,805.52
  6. Step 6: Final answer
    x = 5,274.66

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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.