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Finding the Fourth Proportional to 4,227.57, 5,834.01 and 2,364.57

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Solution

The fourth proportional to 4,227.57, 5,834.01 and 2,364.57 is: 3,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.57 : 5,834.01 = 2,364.57 : x
  2. Step 2: Convert to fraction form
    4,227.57/5,834.01 = 2,364.57/x
  3. Step 3: Cross multiply
    4,227.57x = 5,834.01 × 2,364.57
  4. Step 4: Simplify right side
    4,227.57x = 13,794,884.03
  5. Step 5: Solve for x
    x = 13,794,884.03/4,227.57
  6. Step 6: Final answer
    x = 3,263.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.