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Finding the Fourth Proportional to 3,143.48, 4,715.24 and 952.20

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Solution

The fourth proportional to 3,143.48, 4,715.24 and 952.20 is: 1,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.48 : 4,715.24 = 952.20 : x
  2. Step 2: Convert to fraction form
    3,143.48/4,715.24 = 952.20/x
  3. Step 3: Cross multiply
    3,143.48x = 4,715.24 × 952.20
  4. Step 4: Simplify right side
    3,143.48x = 4,489,846.77
  5. Step 5: Solve for x
    x = 4,489,846.77/3,143.48
  6. Step 6: Final answer
    x = 1,428.31

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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.