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Finding the Fourth Proportional to 3,287.52, 4,933.20 and 2,964

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Solution

The fourth proportional to 3,287.52, 4,933.20 and 2,964 is: 4,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,933.20 = 2,964 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,933.20 = 2,964/x
  3. Step 3: Cross multiply
    3,287.52x = 4,933.20 × 2,964
  4. Step 4: Simplify right side
    3,287.52x = 14,622,004.80
  5. Step 5: Solve for x
    x = 14,622,004.80/3,287.52
  6. Step 6: Final answer
    x = 4,447.73

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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.