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Finding the Fourth Proportional to 4,227.65, 5,834.32 and 2,313.60

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Solution

The fourth proportional to 4,227.65, 5,834.32 and 2,313.60 is: 3,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.65 : 5,834.32 = 2,313.60 : x
  2. Step 2: Convert to fraction form
    4,227.65/5,834.32 = 2,313.60/x
  3. Step 3: Cross multiply
    4,227.65x = 5,834.32 × 2,313.60
  4. Step 4: Simplify right side
    4,227.65x = 13,498,242.01
  5. Step 5: Solve for x
    x = 13,498,242.01/4,227.65
  6. Step 6: Final answer
    x = 3,192.85

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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.