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Finding the Fourth Proportional to 5,688.68, 8,524.91 and 2,221.88

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Solution

The fourth proportional to 5,688.68, 8,524.91 and 2,221.88 is: 3,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.68 : 8,524.91 = 2,221.88 : x
  2. Step 2: Convert to fraction form
    5,688.68/8,524.91 = 2,221.88/x
  3. Step 3: Cross multiply
    5,688.68x = 8,524.91 × 2,221.88
  4. Step 4: Simplify right side
    5,688.68x = 18,941,289.96
  5. Step 5: Solve for x
    x = 18,941,289.96/5,688.68
  6. Step 6: Final answer
    x = 3,329.65

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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.