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Finding the Fourth Proportional to 4,227.63, 5,834.12 and 2,364.63

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Solution

The fourth proportional to 4,227.63, 5,834.12 and 2,364.63 is: 3,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.63 : 5,834.12 = 2,364.63 : x
  2. Step 2: Convert to fraction form
    4,227.63/5,834.12 = 2,364.63/x
  3. Step 3: Cross multiply
    4,227.63x = 5,834.12 × 2,364.63
  4. Step 4: Simplify right side
    4,227.63x = 13,795,535.18
  5. Step 5: Solve for x
    x = 13,795,535.18/4,227.63
  6. Step 6: Final answer
    x = 3,263.18

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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.