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Finding the Fourth Proportional to 5,496.30, 8,232.30 and 2,207.70

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Solution

The fourth proportional to 5,496.30, 8,232.30 and 2,207.70 is: 3,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.30 : 8,232.30 = 2,207.70 : x
  2. Step 2: Convert to fraction form
    5,496.30/8,232.30 = 2,207.70/x
  3. Step 3: Cross multiply
    5,496.30x = 8,232.30 × 2,207.70
  4. Step 4: Simplify right side
    5,496.30x = 18,174,448.71
  5. Step 5: Solve for x
    x = 18,174,448.71/5,496.30
  6. Step 6: Final answer
    x = 3,306.67

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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.