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Finding the Fourth Proportional to 4,227.72, 5,834.25 and 2,364.72

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Solution

The fourth proportional to 4,227.72, 5,834.25 and 2,364.72 is: 3,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.72 : 5,834.25 = 2,364.72 : x
  2. Step 2: Convert to fraction form
    4,227.72/5,834.25 = 2,364.72/x
  3. Step 3: Cross multiply
    4,227.72x = 5,834.25 × 2,364.72
  4. Step 4: Simplify right side
    4,227.72x = 13,796,367.66
  5. Step 5: Solve for x
    x = 13,796,367.66/4,227.72
  6. Step 6: Final answer
    x = 3,263.31

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1.5x scale

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.