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Finding the Fourth Proportional to 4,234.48, 6,340.78 and 2,922.28

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Solution

The fourth proportional to 4,234.48, 6,340.78 and 2,922.28 is: 4,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.48 : 6,340.78 = 2,922.28 : x
  2. Step 2: Convert to fraction form
    4,234.48/6,340.78 = 2,922.28/x
  3. Step 3: Cross multiply
    4,234.48x = 6,340.78 × 2,922.28
  4. Step 4: Simplify right side
    4,234.48x = 18,529,534.58
  5. Step 5: Solve for x
    x = 18,529,534.58/4,234.48
  6. Step 6: Final answer
    x = 4,375.87

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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.