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Finding the Fourth Proportional to 6,394.66, 8,824.10 and 3,561.82

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Solution

The fourth proportional to 6,394.66, 8,824.10 and 3,561.82 is: 4,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.66 : 8,824.10 = 3,561.82 : x
  2. Step 2: Convert to fraction form
    6,394.66/8,824.10 = 3,561.82/x
  3. Step 3: Cross multiply
    6,394.66x = 8,824.10 × 3,561.82
  4. Step 4: Simplify right side
    6,394.66x = 31,429,855.86
  5. Step 5: Solve for x
    x = 31,429,855.86/6,394.66
  6. Step 6: Final answer
    x = 4,915.02

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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.