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Finding the Fourth Proportional to 3,914.94, 5,402.96 and 2,146.88

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Solution

The fourth proportional to 3,914.94, 5,402.96 and 2,146.88 is: 2,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.94 : 5,402.96 = 2,146.88 : x
  2. Step 2: Convert to fraction form
    3,914.94/5,402.96 = 2,146.88/x
  3. Step 3: Cross multiply
    3,914.94x = 5,402.96 × 2,146.88
  4. Step 4: Simplify right side
    3,914.94x = 11,599,469.02
  5. Step 5: Solve for x
    x = 11,599,469.02/3,914.94
  6. Step 6: Final answer
    x = 2,962.87

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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.