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Finding the Fourth Proportional to 3,933.87, 5,900.82 and 1,160.58

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Solution

The fourth proportional to 3,933.87, 5,900.82 and 1,160.58 is: 1,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.87 : 5,900.82 = 1,160.58 : x
  2. Step 2: Convert to fraction form
    3,933.87/5,900.82 = 1,160.58/x
  3. Step 3: Cross multiply
    3,933.87x = 5,900.82 × 1,160.58
  4. Step 4: Simplify right side
    3,933.87x = 6,848,344.17
  5. Step 5: Solve for x
    x = 6,848,344.17/3,933.87
  6. Step 6: Final answer
    x = 1,740.87

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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.