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Finding the Fourth Proportional to 3,244.90, 4,865.89 and 935.86

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Solution

The fourth proportional to 3,244.90, 4,865.89 and 935.86 is: 1,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.90 : 4,865.89 = 935.86 : x
  2. Step 2: Convert to fraction form
    3,244.90/4,865.89 = 935.86/x
  3. Step 3: Cross multiply
    3,244.90x = 4,865.89 × 935.86
  4. Step 4: Simplify right side
    3,244.90x = 4,553,791.82
  5. Step 5: Solve for x
    x = 4,553,791.82/3,244.90
  6. Step 6: Final answer
    x = 1,403.37

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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.