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Finding the Fourth Proportional to 5,861.66, 8,089.17 and 4,185.90

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Solution

The fourth proportional to 5,861.66, 8,089.17 and 4,185.90 is: 5,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.66 : 8,089.17 = 4,185.90 : x
  2. Step 2: Convert to fraction form
    5,861.66/8,089.17 = 4,185.90/x
  3. Step 3: Cross multiply
    5,861.66x = 8,089.17 × 4,185.90
  4. Step 4: Simplify right side
    5,861.66x = 33,860,456.70
  5. Step 5: Solve for x
    x = 33,860,456.70/5,861.66
  6. Step 6: Final answer
    x = 5,776.60

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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.