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Finding the Fourth Proportional to 3,355.85, 5,033.49 and 890.66

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Solution

The fourth proportional to 3,355.85, 5,033.49 and 890.66 is: 1,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.85 : 5,033.49 = 890.66 : x
  2. Step 2: Convert to fraction form
    3,355.85/5,033.49 = 890.66/x
  3. Step 3: Cross multiply
    3,355.85x = 5,033.49 × 890.66
  4. Step 4: Simplify right side
    3,355.85x = 4,483,103.04
  5. Step 5: Solve for x
    x = 4,483,103.04/3,355.85
  6. Step 6: Final answer
    x = 1,335.91

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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.