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Finding the Fourth Proportional to 3,144.21, 4,717.32 and 952.95

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Solution

The fourth proportional to 3,144.21, 4,717.32 and 952.95 is: 1,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.21 : 4,717.32 = 952.95 : x
  2. Step 2: Convert to fraction form
    3,144.21/4,717.32 = 952.95/x
  3. Step 3: Cross multiply
    3,144.21x = 4,717.32 × 952.95
  4. Step 4: Simplify right side
    3,144.21x = 4,495,370.09
  5. Step 5: Solve for x
    x = 4,495,370.09/3,144.21
  6. Step 6: Final answer
    x = 1,429.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.