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Finding the Fourth Proportional to 5,163.32, 7,740.29 and 2,389.25

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Solution

The fourth proportional to 5,163.32, 7,740.29 and 2,389.25 is: 3,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.32 : 7,740.29 = 2,389.25 : x
  2. Step 2: Convert to fraction form
    5,163.32/7,740.29 = 2,389.25/x
  3. Step 3: Cross multiply
    5,163.32x = 7,740.29 × 2,389.25
  4. Step 4: Simplify right side
    5,163.32x = 18,493,513.21
  5. Step 5: Solve for x
    x = 18,493,513.21/5,163.32
  6. Step 6: Final answer
    x = 3,581.71

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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.