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Finding the Fourth Proportional to 3,300.08, 4,949.76 and 834.90

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Solution

The fourth proportional to 3,300.08, 4,949.76 and 834.90 is: 1,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.08 : 4,949.76 = 834.90 : x
  2. Step 2: Convert to fraction form
    3,300.08/4,949.76 = 834.90/x
  3. Step 3: Cross multiply
    3,300.08x = 4,949.76 × 834.90
  4. Step 4: Simplify right side
    3,300.08x = 4,132,554.62
  5. Step 5: Solve for x
    x = 4,132,554.62/3,300.08
  6. Step 6: Final answer
    x = 1,252.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.