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Finding the Fourth Proportional to 3,549.57, 5,324.19 and 952.50

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Solution

The fourth proportional to 3,549.57, 5,324.19 and 952.50 is: 1,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.57 : 5,324.19 = 952.50 : x
  2. Step 2: Convert to fraction form
    3,549.57/5,324.19 = 952.50/x
  3. Step 3: Cross multiply
    3,549.57x = 5,324.19 × 952.50
  4. Step 4: Simplify right side
    3,549.57x = 5,071,290.98
  5. Step 5: Solve for x
    x = 5,071,290.98/3,549.57
  6. Step 6: Final answer
    x = 1,428.71

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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.