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Finding the Fourth Proportional to 3,723.69, 5,142.15 and 2,399.67

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Solution

The fourth proportional to 3,723.69, 5,142.15 and 2,399.67 is: 3,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.69 : 5,142.15 = 2,399.67 : x
  2. Step 2: Convert to fraction form
    3,723.69/5,142.15 = 2,399.67/x
  3. Step 3: Cross multiply
    3,723.69x = 5,142.15 × 2,399.67
  4. Step 4: Simplify right side
    3,723.69x = 12,339,463.09
  5. Step 5: Solve for x
    x = 12,339,463.09/3,723.69
  6. Step 6: Final answer
    x = 3,313.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.