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Finding the Fourth Proportional to 6,393.62, 8,824.38 and 3,599.12

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Solution

The fourth proportional to 6,393.62, 8,824.38 and 3,599.12 is: 4,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.62 : 8,824.38 = 3,599.12 : x
  2. Step 2: Convert to fraction form
    6,393.62/8,824.38 = 3,599.12/x
  3. Step 3: Cross multiply
    6,393.62x = 8,824.38 × 3,599.12
  4. Step 4: Simplify right side
    6,393.62x = 31,760,002.55
  5. Step 5: Solve for x
    x = 31,760,002.55/6,393.62
  6. Step 6: Final answer
    x = 4,967.45

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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.