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Finding the Fourth Proportional to 3,954.44, 5,932.07 and 1,762.99

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Solution

The fourth proportional to 3,954.44, 5,932.07 and 1,762.99 is: 2,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.44 : 5,932.07 = 1,762.99 : x
  2. Step 2: Convert to fraction form
    3,954.44/5,932.07 = 1,762.99/x
  3. Step 3: Cross multiply
    3,954.44x = 5,932.07 × 1,762.99
  4. Step 4: Simplify right side
    3,954.44x = 10,458,141.61
  5. Step 5: Solve for x
    x = 10,458,141.61/3,954.44
  6. Step 6: Final answer
    x = 2,644.66

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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.