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Finding the Fourth Proportional to 5,632.86, 8,451.09 and 2,709.57

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Solution

The fourth proportional to 5,632.86, 8,451.09 and 2,709.57 is: 4,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.86 : 8,451.09 = 2,709.57 : x
  2. Step 2: Convert to fraction form
    5,632.86/8,451.09 = 2,709.57/x
  3. Step 3: Cross multiply
    5,632.86x = 8,451.09 × 2,709.57
  4. Step 4: Simplify right side
    5,632.86x = 22,898,819.93
  5. Step 5: Solve for x
    x = 22,898,819.93/5,632.86
  6. Step 6: Final answer
    x = 4,065.22

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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.