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Finding the Fourth Proportional to 3,933.84, 5,901.12 and 1,161.12

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Solution

The fourth proportional to 3,933.84, 5,901.12 and 1,161.12 is: 1,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.84 : 5,901.12 = 1,161.12 : x
  2. Step 2: Convert to fraction form
    3,933.84/5,901.12 = 1,161.12/x
  3. Step 3: Cross multiply
    3,933.84x = 5,901.12 × 1,161.12
  4. Step 4: Simplify right side
    3,933.84x = 6,851,908.45
  5. Step 5: Solve for x
    x = 6,851,908.45/3,933.84
  6. Step 6: Final answer
    x = 1,741.79

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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.