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Finding the Fourth Proportional to 3,652.26, 5,449.49 and 3,568.22

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Solution

The fourth proportional to 3,652.26, 5,449.49 and 3,568.22 is: 5,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.26 : 5,449.49 = 3,568.22 : x
  2. Step 2: Convert to fraction form
    3,652.26/5,449.49 = 3,568.22/x
  3. Step 3: Cross multiply
    3,652.26x = 5,449.49 × 3,568.22
  4. Step 4: Simplify right side
    3,652.26x = 19,444,979.21
  5. Step 5: Solve for x
    x = 19,444,979.21/3,652.26
  6. Step 6: Final answer
    x = 5,324.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.