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Finding the Fourth Proportional to 3,980.66, 5,971.94 and 3,914.55

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Solution

The fourth proportional to 3,980.66, 5,971.94 and 3,914.55 is: 5,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.66 : 5,971.94 = 3,914.55 : x
  2. Step 2: Convert to fraction form
    3,980.66/5,971.94 = 3,914.55/x
  3. Step 3: Cross multiply
    3,980.66x = 5,971.94 × 3,914.55
  4. Step 4: Simplify right side
    3,980.66x = 23,377,457.73
  5. Step 5: Solve for x
    x = 23,377,457.73/3,980.66
  6. Step 6: Final answer
    x = 5,872.76

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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.