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Finding the Fourth Proportional to 6,218.71, 8,581.80 and 3,424.21

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Solution

The fourth proportional to 6,218.71, 8,581.80 and 3,424.21 is: 4,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.71 : 8,581.80 = 3,424.21 : x
  2. Step 2: Convert to fraction form
    6,218.71/8,581.80 = 3,424.21/x
  3. Step 3: Cross multiply
    6,218.71x = 8,581.80 × 3,424.21
  4. Step 4: Simplify right side
    6,218.71x = 29,385,885.38
  5. Step 5: Solve for x
    x = 29,385,885.38/6,218.71
  6. Step 6: Final answer
    x = 4,725.40

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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.