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Finding the Fourth Proportional to 5,222.92, 7,208.03 and 3,234.64

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Solution

The fourth proportional to 5,222.92, 7,208.03 and 3,234.64 is: 4,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.92 : 7,208.03 = 3,234.64 : x
  2. Step 2: Convert to fraction form
    5,222.92/7,208.03 = 3,234.64/x
  3. Step 3: Cross multiply
    5,222.92x = 7,208.03 × 3,234.64
  4. Step 4: Simplify right side
    5,222.92x = 23,315,329.95
  5. Step 5: Solve for x
    x = 23,315,329.95/5,222.92
  6. Step 6: Final answer
    x = 4,464.05

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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.