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Finding the Fourth Proportional to 5,761.44, 8,646.36 and 2,299.68

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Solution

The fourth proportional to 5,761.44, 8,646.36 and 2,299.68 is: 3,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.44 : 8,646.36 = 2,299.68 : x
  2. Step 2: Convert to fraction form
    5,761.44/8,646.36 = 2,299.68/x
  3. Step 3: Cross multiply
    5,761.44x = 8,646.36 × 2,299.68
  4. Step 4: Simplify right side
    5,761.44x = 19,883,861.16
  5. Step 5: Solve for x
    x = 19,883,861.16/5,761.44
  6. Step 6: Final answer
    x = 3,451.20

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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.