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Finding the Fourth Proportional to 3,933.87, 5,901.61 and 3,289.11

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Solution

The fourth proportional to 3,933.87, 5,901.61 and 3,289.11 is: 4,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.87 : 5,901.61 = 3,289.11 : x
  2. Step 2: Convert to fraction form
    3,933.87/5,901.61 = 3,289.11/x
  3. Step 3: Cross multiply
    3,933.87x = 5,901.61 × 3,289.11
  4. Step 4: Simplify right side
    3,933.87x = 19,411,014.96
  5. Step 5: Solve for x
    x = 19,411,014.96/3,933.87
  6. Step 6: Final answer
    x = 4,934.34

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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.