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Finding the Fourth Proportional to 6,289.86, 8,680.19 and 3,772.38

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Solution

The fourth proportional to 6,289.86, 8,680.19 and 3,772.38 is: 5,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.86 : 8,680.19 = 3,772.38 : x
  2. Step 2: Convert to fraction form
    6,289.86/8,680.19 = 3,772.38/x
  3. Step 3: Cross multiply
    6,289.86x = 8,680.19 × 3,772.38
  4. Step 4: Simplify right side
    6,289.86x = 32,744,956.29
  5. Step 5: Solve for x
    x = 32,744,956.29/6,289.86
  6. Step 6: Final answer
    x = 5,205.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.