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Finding the Fourth Proportional to 4,227.90, 5,834.50 and 2,364.90

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Solution

The fourth proportional to 4,227.90, 5,834.50 and 2,364.90 is: 3,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.90 : 5,834.50 = 2,364.90 : x
  2. Step 2: Convert to fraction form
    4,227.90/5,834.50 = 2,364.90/x
  3. Step 3: Cross multiply
    4,227.90x = 5,834.50 × 2,364.90
  4. Step 4: Simplify right side
    4,227.90x = 13,798,009.05
  5. Step 5: Solve for x
    x = 13,798,009.05/4,227.90
  6. Step 6: Final answer
    x = 3,263.56

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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.