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Finding the Fourth Proportional to 5,568, 8,353.92 and 2,282.16

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Solution

The fourth proportional to 5,568, 8,353.92 and 2,282.16 is: 3,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568 : 8,353.92 = 2,282.16 : x
  2. Step 2: Convert to fraction form
    5,568/8,353.92 = 2,282.16/x
  3. Step 3: Cross multiply
    5,568x = 8,353.92 × 2,282.16
  4. Step 4: Simplify right side
    5,568x = 19,064,982.07
  5. Step 5: Solve for x
    x = 19,064,982.07/5,568
  6. Step 6: Final answer
    x = 3,424.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.