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Finding the Fourth Proportional to 5,861.95, 8,089.45 and 3,209.33

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Solution

The fourth proportional to 5,861.95, 8,089.45 and 3,209.33 is: 4,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.95 : 8,089.45 = 3,209.33 : x
  2. Step 2: Convert to fraction form
    5,861.95/8,089.45 = 3,209.33/x
  3. Step 3: Cross multiply
    5,861.95x = 8,089.45 × 3,209.33
  4. Step 4: Simplify right side
    5,861.95x = 25,961,714.57
  5. Step 5: Solve for x
    x = 25,961,714.57/5,861.95
  6. Step 6: Final answer
    x = 4,428.85

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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.