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Finding the Fourth Proportional to 3,914.61, 5,402.20 and 2,146.17

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Solution

The fourth proportional to 3,914.61, 5,402.20 and 2,146.17 is: 2,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.61 : 5,402.20 = 2,146.17 : x
  2. Step 2: Convert to fraction form
    3,914.61/5,402.20 = 2,146.17/x
  3. Step 3: Cross multiply
    3,914.61x = 5,402.20 × 2,146.17
  4. Step 4: Simplify right side
    3,914.61x = 11,594,039.57
  5. Step 5: Solve for x
    x = 11,594,039.57/3,914.61
  6. Step 6: Final answer
    x = 2,961.74

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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.