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Finding the Fourth Proportional to 3,958.66, 5,462.94 and 2,190.16

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Solution

The fourth proportional to 3,958.66, 5,462.94 and 2,190.16 is: 3,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.66 : 5,462.94 = 2,190.16 : x
  2. Step 2: Convert to fraction form
    3,958.66/5,462.94 = 2,190.16/x
  3. Step 3: Cross multiply
    3,958.66x = 5,462.94 × 2,190.16
  4. Step 4: Simplify right side
    3,958.66x = 11,964,712.67
  5. Step 5: Solve for x
    x = 11,964,712.67/3,958.66
  6. Step 6: Final answer
    x = 3,022.41

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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.