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Finding the Fourth Proportional to 6,486.20, 8,949.82 and 3,834.44

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Solution

The fourth proportional to 6,486.20, 8,949.82 and 3,834.44 is: 5,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.20 : 8,949.82 = 3,834.44 : x
  2. Step 2: Convert to fraction form
    6,486.20/8,949.82 = 3,834.44/x
  3. Step 3: Cross multiply
    6,486.20x = 8,949.82 × 3,834.44
  4. Step 4: Simplify right side
    6,486.20x = 34,317,547.80
  5. Step 5: Solve for x
    x = 34,317,547.80/6,486.20
  6. Step 6: Final answer
    x = 5,290.86

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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.