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Finding the Fourth Proportional to 3,946.38, 5,446.29 and 2,268.19

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Solution

The fourth proportional to 3,946.38, 5,446.29 and 2,268.19 is: 3,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.38 : 5,446.29 = 2,268.19 : x
  2. Step 2: Convert to fraction form
    3,946.38/5,446.29 = 2,268.19/x
  3. Step 3: Cross multiply
    3,946.38x = 5,446.29 × 2,268.19
  4. Step 4: Simplify right side
    3,946.38x = 12,353,223.07
  5. Step 5: Solve for x
    x = 12,353,223.07/3,946.38
  6. Step 6: Final answer
    x = 3,130.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.