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Finding the Fourth Proportional to 3,954.96, 5,932.79 and 1,033.26

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Solution

The fourth proportional to 3,954.96, 5,932.79 and 1,033.26 is: 1,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.96 : 5,932.79 = 1,033.26 : x
  2. Step 2: Convert to fraction form
    3,954.96/5,932.79 = 1,033.26/x
  3. Step 3: Cross multiply
    3,954.96x = 5,932.79 × 1,033.26
  4. Step 4: Simplify right side
    3,954.96x = 6,130,109.43
  5. Step 5: Solve for x
    x = 6,130,109.43/3,954.96
  6. Step 6: Final answer
    x = 1,549.98

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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.