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Finding the Fourth Proportional to 3,143.59, 4,715.62 and 952.49

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Solution

The fourth proportional to 3,143.59, 4,715.62 and 952.49 is: 1,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.59 : 4,715.62 = 952.49 : x
  2. Step 2: Convert to fraction form
    3,143.59/4,715.62 = 952.49/x
  3. Step 3: Cross multiply
    3,143.59x = 4,715.62 × 952.49
  4. Step 4: Simplify right side
    3,143.59x = 4,491,590.30
  5. Step 5: Solve for x
    x = 4,491,590.30/3,143.59
  6. Step 6: Final answer
    x = 1,428.81

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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.