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Finding the Fourth Proportional to 4,227.96, 5,834.55 and 2,364.96

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Solution

The fourth proportional to 4,227.96, 5,834.55 and 2,364.96 is: 3,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.96 : 5,834.55 = 2,364.96 : x
  2. Step 2: Convert to fraction form
    4,227.96/5,834.55 = 2,364.96/x
  3. Step 3: Cross multiply
    4,227.96x = 5,834.55 × 2,364.96
  4. Step 4: Simplify right side
    4,227.96x = 13,798,477.37
  5. Step 5: Solve for x
    x = 13,798,477.37/4,227.96
  6. Step 6: Final answer
    x = 3,263.63

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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.