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Finding the Fourth Proportional to 3,868.02, 5,327.37 and 3,394.17

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Solution

The fourth proportional to 3,868.02, 5,327.37 and 3,394.17 is: 4,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.02 : 5,327.37 = 3,394.17 : x
  2. Step 2: Convert to fraction form
    3,868.02/5,327.37 = 3,394.17/x
  3. Step 3: Cross multiply
    3,868.02x = 5,327.37 × 3,394.17
  4. Step 4: Simplify right side
    3,868.02x = 18,081,999.43
  5. Step 5: Solve for x
    x = 18,081,999.43/3,868.02
  6. Step 6: Final answer
    x = 4,674.74

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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.