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Finding the Fourth Proportional to 3,989.68, 5,505.75 and 2,311.17

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Solution

The fourth proportional to 3,989.68, 5,505.75 and 2,311.17 is: 3,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.68 : 5,505.75 = 2,311.17 : x
  2. Step 2: Convert to fraction form
    3,989.68/5,505.75 = 2,311.17/x
  3. Step 3: Cross multiply
    3,989.68x = 5,505.75 × 2,311.17
  4. Step 4: Simplify right side
    3,989.68x = 12,724,724.23
  5. Step 5: Solve for x
    x = 12,724,724.23/3,989.68
  6. Step 6: Final answer
    x = 3,189.41

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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.