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Finding the Fourth Proportional to 3,311.62, 4,964.10 and 1,462.41

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Solution

The fourth proportional to 3,311.62, 4,964.10 and 1,462.41 is: 2,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.62 : 4,964.10 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    3,311.62/4,964.10 = 1,462.41/x
  3. Step 3: Cross multiply
    3,311.62x = 4,964.10 × 1,462.41
  4. Step 4: Simplify right side
    3,311.62x = 7,259,549.48
  5. Step 5: Solve for x
    x = 7,259,549.48/3,311.62
  6. Step 6: Final answer
    x = 2,192.14

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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.