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Finding the Fourth Proportional to 3,915, 5,873.31 and 1,450.17

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Solution

The fourth proportional to 3,915, 5,873.31 and 1,450.17 is: 2,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 5,873.31 = 1,450.17 : x
  2. Step 2: Convert to fraction form
    3,915/5,873.31 = 1,450.17/x
  3. Step 3: Cross multiply
    3,915x = 5,873.31 × 1,450.17
  4. Step 4: Simplify right side
    3,915x = 8,517,297.96
  5. Step 5: Solve for x
    x = 8,517,297.96/3,915
  6. Step 6: Final answer
    x = 2,175.56

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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.