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Finding the Fourth Proportional to 6,079.62, 8,384.28 and 3,837.62

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Solution

The fourth proportional to 6,079.62, 8,384.28 and 3,837.62 is: 5,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.62 : 8,384.28 = 3,837.62 : x
  2. Step 2: Convert to fraction form
    6,079.62/8,384.28 = 3,837.62/x
  3. Step 3: Cross multiply
    6,079.62x = 8,384.28 × 3,837.62
  4. Step 4: Simplify right side
    6,079.62x = 32,175,680.61
  5. Step 5: Solve for x
    x = 32,175,680.61/6,079.62
  6. Step 6: Final answer
    x = 5,292.38

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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.