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Finding the Fourth Proportional to 5,334.08, 7,989.57 and 3,870

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Solution

The fourth proportional to 5,334.08, 7,989.57 and 3,870 is: 5,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.08 : 7,989.57 = 3,870 : x
  2. Step 2: Convert to fraction form
    5,334.08/7,989.57 = 3,870/x
  3. Step 3: Cross multiply
    5,334.08x = 7,989.57 × 3,870
  4. Step 4: Simplify right side
    5,334.08x = 30,919,635.90
  5. Step 5: Solve for x
    x = 30,919,635.90/5,334.08
  6. Step 6: Final answer
    x = 5,796.63

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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.