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Finding the Fourth Proportional to 3,942, 5,439.99 and 2,173.66

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Solution

The fourth proportional to 3,942, 5,439.99 and 2,173.66 is: 2,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 5,439.99 = 2,173.66 : x
  2. Step 2: Convert to fraction form
    3,942/5,439.99 = 2,173.66/x
  3. Step 3: Cross multiply
    3,942x = 5,439.99 × 2,173.66
  4. Step 4: Simplify right side
    3,942x = 11,824,688.66
  5. Step 5: Solve for x
    x = 11,824,688.66/3,942
  6. Step 6: Final answer
    x = 2,999.67

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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.