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Finding the Fourth Proportional to 3,861.24, 5,788.62 and 3,129

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Solution

The fourth proportional to 3,861.24, 5,788.62 and 3,129 is: 4,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.24 : 5,788.62 = 3,129 : x
  2. Step 2: Convert to fraction form
    3,861.24/5,788.62 = 3,129/x
  3. Step 3: Cross multiply
    3,861.24x = 5,788.62 × 3,129
  4. Step 4: Simplify right side
    3,861.24x = 18,112,591.98
  5. Step 5: Solve for x
    x = 18,112,591.98/3,861.24
  6. Step 6: Final answer
    x = 4,690.87

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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.