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Finding the Fourth Proportional to 6,209.44, 8,568 and 3,693.04

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Solution

The fourth proportional to 6,209.44, 8,568 and 3,693.04 is: 5,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.44 : 8,568 = 3,693.04 : x
  2. Step 2: Convert to fraction form
    6,209.44/8,568 = 3,693.04/x
  3. Step 3: Cross multiply
    6,209.44x = 8,568 × 3,693.04
  4. Step 4: Simplify right side
    6,209.44x = 31,641,966.72
  5. Step 5: Solve for x
    x = 31,641,966.72/6,209.44
  6. Step 6: Final answer
    x = 5,095.78

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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.