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Finding the Fourth Proportional to 5,716.68, 8,580.30 and 3,529.68

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Solution

The fourth proportional to 5,716.68, 8,580.30 and 3,529.68 is: 5,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.68 : 8,580.30 = 3,529.68 : x
  2. Step 2: Convert to fraction form
    5,716.68/8,580.30 = 3,529.68/x
  3. Step 3: Cross multiply
    5,716.68x = 8,580.30 × 3,529.68
  4. Step 4: Simplify right side
    5,716.68x = 30,285,713.30
  5. Step 5: Solve for x
    x = 30,285,713.30/5,716.68
  6. Step 6: Final answer
    x = 5,297.78

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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.