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Finding the Fourth Proportional to 6,207.71, 8,568 and 4,219.02

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Solution

The fourth proportional to 6,207.71, 8,568 and 4,219.02 is: 5,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.71 : 8,568 = 4,219.02 : x
  2. Step 2: Convert to fraction form
    6,207.71/8,568 = 4,219.02/x
  3. Step 3: Cross multiply
    6,207.71x = 8,568 × 4,219.02
  4. Step 4: Simplify right side
    6,207.71x = 36,148,563.36
  5. Step 5: Solve for x
    x = 36,148,563.36/6,207.71
  6. Step 6: Final answer
    x = 5,823.18

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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.