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Finding the Fourth Proportional to 5,452.30, 8,166.30 and 4,209.96

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Solution

The fourth proportional to 5,452.30, 8,166.30 and 4,209.96 is: 6,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.30 : 8,166.30 = 4,209.96 : x
  2. Step 2: Convert to fraction form
    5,452.30/8,166.30 = 4,209.96/x
  3. Step 3: Cross multiply
    5,452.30x = 8,166.30 × 4,209.96
  4. Step 4: Simplify right side
    5,452.30x = 34,379,796.35
  5. Step 5: Solve for x
    x = 34,379,796.35/5,452.30
  6. Step 6: Final answer
    x = 6,305.56

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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.