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Finding the Fourth Proportional to 3,144.06, 4,716.42 and 952.47

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Solution

The fourth proportional to 3,144.06, 4,716.42 and 952.47 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.06 : 4,716.42 = 952.47 : x
  2. Step 2: Convert to fraction form
    3,144.06/4,716.42 = 952.47/x
  3. Step 3: Cross multiply
    3,144.06x = 4,716.42 × 952.47
  4. Step 4: Simplify right side
    3,144.06x = 4,492,248.56
  5. Step 5: Solve for x
    x = 4,492,248.56/3,144.06
  6. Step 6: Final answer
    x = 1,428.80

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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.