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Finding the Fourth Proportional to 5,489.95, 8,234.74 and 2,202.16

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Solution

The fourth proportional to 5,489.95, 8,234.74 and 2,202.16 is: 3,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.95 : 8,234.74 = 2,202.16 : x
  2. Step 2: Convert to fraction form
    5,489.95/8,234.74 = 2,202.16/x
  3. Step 3: Cross multiply
    5,489.95x = 8,234.74 × 2,202.16
  4. Step 4: Simplify right side
    5,489.95x = 18,134,215.04
  5. Step 5: Solve for x
    x = 18,134,215.04/5,489.95
  6. Step 6: Final answer
    x = 3,303.17

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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.