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Finding the Fourth Proportional to 6,362.28, 8,780.34 and 4,234.14

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Solution

The fourth proportional to 6,362.28, 8,780.34 and 4,234.14 is: 5,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.28 : 8,780.34 = 4,234.14 : x
  2. Step 2: Convert to fraction form
    6,362.28/8,780.34 = 4,234.14/x
  3. Step 3: Cross multiply
    6,362.28x = 8,780.34 × 4,234.14
  4. Step 4: Simplify right side
    6,362.28x = 37,177,188.81
  5. Step 5: Solve for x
    x = 37,177,188.81/6,362.28
  6. Step 6: Final answer
    x = 5,843.38

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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.