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Finding the Fourth Proportional to 3,805.86, 5,694.42 and 2,246.71

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Solution

The fourth proportional to 3,805.86, 5,694.42 and 2,246.71 is: 3,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.86 : 5,694.42 = 2,246.71 : x
  2. Step 2: Convert to fraction form
    3,805.86/5,694.42 = 2,246.71/x
  3. Step 3: Cross multiply
    3,805.86x = 5,694.42 × 2,246.71
  4. Step 4: Simplify right side
    3,805.86x = 12,793,710.36
  5. Step 5: Solve for x
    x = 12,793,710.36/3,805.86
  6. Step 6: Final answer
    x = 3,361.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.