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Finding the Fourth Proportional to 3,946.68, 5,446.23 and 2,266.91

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Solution

The fourth proportional to 3,946.68, 5,446.23 and 2,266.91 is: 3,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.68 : 5,446.23 = 2,266.91 : x
  2. Step 2: Convert to fraction form
    3,946.68/5,446.23 = 2,266.91/x
  3. Step 3: Cross multiply
    3,946.68x = 5,446.23 × 2,266.91
  4. Step 4: Simplify right side
    3,946.68x = 12,346,086.02
  5. Step 5: Solve for x
    x = 12,346,086.02/3,946.68
  6. Step 6: Final answer
    x = 3,128.22

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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.