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Finding the Fourth Proportional to 5,709.12, 8,564.37 and 2,421.78

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Solution

The fourth proportional to 5,709.12, 8,564.37 and 2,421.78 is: 3,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.12 : 8,564.37 = 2,421.78 : x
  2. Step 2: Convert to fraction form
    5,709.12/8,564.37 = 2,421.78/x
  3. Step 3: Cross multiply
    5,709.12x = 8,564.37 × 2,421.78
  4. Step 4: Simplify right side
    5,709.12x = 20,741,007.87
  5. Step 5: Solve for x
    x = 20,741,007.87/5,709.12
  6. Step 6: Final answer
    x = 3,632.96

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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.