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Finding the Fourth Proportional to 3,954.71, 5,932.41 and 1,033.01

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Solution

The fourth proportional to 3,954.71, 5,932.41 and 1,033.01 is: 1,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.71 : 5,932.41 = 1,033.01 : x
  2. Step 2: Convert to fraction form
    3,954.71/5,932.41 = 1,033.01/x
  3. Step 3: Cross multiply
    3,954.71x = 5,932.41 × 1,033.01
  4. Step 4: Simplify right side
    3,954.71x = 6,128,238.85
  5. Step 5: Solve for x
    x = 6,128,238.85/3,954.71
  6. Step 6: Final answer
    x = 1,549.61

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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.