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Finding the Fourth Proportional to 3,946.76, 5,446.42 and 2,154.28

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Solution

The fourth proportional to 3,946.76, 5,446.42 and 2,154.28 is: 2,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.76 : 5,446.42 = 2,154.28 : x
  2. Step 2: Convert to fraction form
    3,946.76/5,446.42 = 2,154.28/x
  3. Step 3: Cross multiply
    3,946.76x = 5,446.42 × 2,154.28
  4. Step 4: Simplify right side
    3,946.76x = 11,733,113.68
  5. Step 5: Solve for x
    x = 11,733,113.68/3,946.76
  6. Step 6: Final answer
    x = 2,972.85

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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.