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Finding the Fourth Proportional to 3,946.59, 5,446.44 and 2,268.34

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Solution

The fourth proportional to 3,946.59, 5,446.44 and 2,268.34 is: 3,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.59 : 5,446.44 = 2,268.34 : x
  2. Step 2: Convert to fraction form
    3,946.59/5,446.44 = 2,268.34/x
  3. Step 3: Cross multiply
    3,946.59x = 5,446.44 × 2,268.34
  4. Step 4: Simplify right side
    3,946.59x = 12,354,364.09
  5. Step 5: Solve for x
    x = 12,354,364.09/3,946.59
  6. Step 6: Final answer
    x = 3,130.39

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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.