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Finding the Fourth Proportional to 3,914.92, 5,402.68 and 2,146.64

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Solution

The fourth proportional to 3,914.92, 5,402.68 and 2,146.64 is: 2,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.92 : 5,402.68 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    3,914.92/5,402.68 = 2,146.64/x
  3. Step 3: Cross multiply
    3,914.92x = 5,402.68 × 2,146.64
  4. Step 4: Simplify right side
    3,914.92x = 11,597,609.00
  5. Step 5: Solve for x
    x = 11,597,609.00/3,914.92
  6. Step 6: Final answer
    x = 2,962.41

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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.