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Finding the Fourth Proportional to 3,861.69, 5,797.59 and 2,471.32

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Solution

The fourth proportional to 3,861.69, 5,797.59 and 2,471.32 is: 3,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.69 : 5,797.59 = 2,471.32 : x
  2. Step 2: Convert to fraction form
    3,861.69/5,797.59 = 2,471.32/x
  3. Step 3: Cross multiply
    3,861.69x = 5,797.59 × 2,471.32
  4. Step 4: Simplify right side
    3,861.69x = 14,327,700.12
  5. Step 5: Solve for x
    x = 14,327,700.12/3,861.69
  6. Step 6: Final answer
    x = 3,710.21

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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.