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Finding the Fourth Proportional to 3,251.53, 4,874.22 and 2,962.63

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Solution

The fourth proportional to 3,251.53, 4,874.22 and 2,962.63 is: 4,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.53 : 4,874.22 = 2,962.63 : x
  2. Step 2: Convert to fraction form
    3,251.53/4,874.22 = 2,962.63/x
  3. Step 3: Cross multiply
    3,251.53x = 4,874.22 × 2,962.63
  4. Step 4: Simplify right side
    3,251.53x = 14,440,471.21
  5. Step 5: Solve for x
    x = 14,440,471.21/3,251.53
  6. Step 6: Final answer
    x = 4,441.14

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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.