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Finding the Fourth Proportional to 6,394.38, 8,824.11 and 3,561.74

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Solution

The fourth proportional to 6,394.38, 8,824.11 and 3,561.74 is: 4,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.38 : 8,824.11 = 3,561.74 : x
  2. Step 2: Convert to fraction form
    6,394.38/8,824.11 = 3,561.74/x
  3. Step 3: Cross multiply
    6,394.38x = 8,824.11 × 3,561.74
  4. Step 4: Simplify right side
    6,394.38x = 31,429,210.80
  5. Step 5: Solve for x
    x = 31,429,210.80/6,394.38
  6. Step 6: Final answer
    x = 4,915.13

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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.