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Finding the Fourth Proportional to 3,946.47, 5,446.43 and 2,268.29

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Solution

The fourth proportional to 3,946.47, 5,446.43 and 2,268.29 is: 3,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.47 : 5,446.43 = 2,268.29 : x
  2. Step 2: Convert to fraction form
    3,946.47/5,446.43 = 2,268.29/x
  3. Step 3: Cross multiply
    3,946.47x = 5,446.43 × 2,268.29
  4. Step 4: Simplify right side
    3,946.47x = 12,354,044.13
  5. Step 5: Solve for x
    x = 12,354,044.13/3,946.47
  6. Step 6: Final answer
    x = 3,130.40

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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.