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Finding the Fourth Proportional to 4,633.91, 6,982.49 and 3,830.19

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Solution

The fourth proportional to 4,633.91, 6,982.49 and 3,830.19 is: 5,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.91 : 6,982.49 = 3,830.19 : x
  2. Step 2: Convert to fraction form
    4,633.91/6,982.49 = 3,830.19/x
  3. Step 3: Cross multiply
    4,633.91x = 6,982.49 × 3,830.19
  4. Step 4: Simplify right side
    4,633.91x = 26,744,238.31
  5. Step 5: Solve for x
    x = 26,744,238.31/4,633.91
  6. Step 6: Final answer
    x = 5,771.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.