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Finding the Fourth Proportional to 3,186.89, 4,397.86 and 1,861.68

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Solution

The fourth proportional to 3,186.89, 4,397.86 and 1,861.68 is: 2,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.89 : 4,397.86 = 1,861.68 : x
  2. Step 2: Convert to fraction form
    3,186.89/4,397.86 = 1,861.68/x
  3. Step 3: Cross multiply
    3,186.89x = 4,397.86 × 1,861.68
  4. Step 4: Simplify right side
    3,186.89x = 8,187,408.00
  5. Step 5: Solve for x
    x = 8,187,408.00/3,186.89
  6. Step 6: Final answer
    x = 2,569.09

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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.