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Finding the Fourth Proportional to 4,964.87, 6,834.36 and 4,292.37

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Solution

The fourth proportional to 4,964.87, 6,834.36 and 4,292.37 is: 5,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.87 : 6,834.36 = 4,292.37 : x
  2. Step 2: Convert to fraction form
    4,964.87/6,834.36 = 4,292.37/x
  3. Step 3: Cross multiply
    4,964.87x = 6,834.36 × 4,292.37
  4. Step 4: Simplify right side
    4,964.87x = 29,335,601.83
  5. Step 5: Solve for x
    x = 29,335,601.83/4,964.87
  6. Step 6: Final answer
    x = 5,908.63

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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.