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Finding the Fourth Proportional to 3,933.88, 5,901.16 and 1,012.16

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Solution

The fourth proportional to 3,933.88, 5,901.16 and 1,012.16 is: 1,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.88 : 5,901.16 = 1,012.16 : x
  2. Step 2: Convert to fraction form
    3,933.88/5,901.16 = 1,012.16/x
  3. Step 3: Cross multiply
    3,933.88x = 5,901.16 × 1,012.16
  4. Step 4: Simplify right side
    3,933.88x = 5,972,918.11
  5. Step 5: Solve for x
    x = 5,972,918.11/3,933.88
  6. Step 6: Final answer
    x = 1,518.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.