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Finding the Fourth Proportional to 3,549.29, 5,324.07 and 952.22

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Solution

The fourth proportional to 3,549.29, 5,324.07 and 952.22 is: 1,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.29 : 5,324.07 = 952.22 : x
  2. Step 2: Convert to fraction form
    3,549.29/5,324.07 = 952.22/x
  3. Step 3: Cross multiply
    3,549.29x = 5,324.07 × 952.22
  4. Step 4: Simplify right side
    3,549.29x = 5,069,659.32
  5. Step 5: Solve for x
    x = 5,069,659.32/3,549.29
  6. Step 6: Final answer
    x = 1,428.36

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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.