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Finding the Fourth Proportional to 3,441.38, 4,746.94 and 2,744.42

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Solution

The fourth proportional to 3,441.38, 4,746.94 and 2,744.42 is: 3,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.38 : 4,746.94 = 2,744.42 : x
  2. Step 2: Convert to fraction form
    3,441.38/4,746.94 = 2,744.42/x
  3. Step 3: Cross multiply
    3,441.38x = 4,746.94 × 2,744.42
  4. Step 4: Simplify right side
    3,441.38x = 13,027,566.48
  5. Step 5: Solve for x
    x = 13,027,566.48/3,441.38
  6. Step 6: Final answer
    x = 3,785.57

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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.