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Finding the Fourth Proportional to 4,965.12, 6,834.69 and 4,292.64

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Solution

The fourth proportional to 4,965.12, 6,834.69 and 4,292.64 is: 5,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.12 : 6,834.69 = 4,292.64 : x
  2. Step 2: Convert to fraction form
    4,965.12/6,834.69 = 4,292.64/x
  3. Step 3: Cross multiply
    4,965.12x = 6,834.69 × 4,292.64
  4. Step 4: Simplify right side
    4,965.12x = 29,338,863.68
  5. Step 5: Solve for x
    x = 29,338,863.68/4,965.12
  6. Step 6: Final answer
    x = 5,908.99

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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.