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Finding the Fourth Proportional to 6,224.33, 8,594.15 and 4,234.16

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Solution

The fourth proportional to 6,224.33, 8,594.15 and 4,234.16 is: 5,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.33 : 8,594.15 = 4,234.16 : x
  2. Step 2: Convert to fraction form
    6,224.33/8,594.15 = 4,234.16/x
  3. Step 3: Cross multiply
    6,224.33x = 8,594.15 × 4,234.16
  4. Step 4: Simplify right side
    6,224.33x = 36,388,942.02
  5. Step 5: Solve for x
    x = 36,388,942.02/6,224.33
  6. Step 6: Final answer
    x = 5,846.25

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