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Finding the Fourth Proportional to 3,914.71, 5,402.27 and 2,146.31

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Solution

The fourth proportional to 3,914.71, 5,402.27 and 2,146.31 is: 2,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.71 : 5,402.27 = 2,146.31 : x
  2. Step 2: Convert to fraction form
    3,914.71/5,402.27 = 2,146.31/x
  3. Step 3: Cross multiply
    3,914.71x = 5,402.27 × 2,146.31
  4. Step 4: Simplify right side
    3,914.71x = 11,594,946.12
  5. Step 5: Solve for x
    x = 11,594,946.12/3,914.71
  6. Step 6: Final answer
    x = 2,961.89

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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.