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Finding the Fourth Proportional to 5,502.96, 8,256.87 and 2,222.46

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Solution

The fourth proportional to 5,502.96, 8,256.87 and 2,222.46 is: 3,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.96 : 8,256.87 = 2,222.46 : x
  2. Step 2: Convert to fraction form
    5,502.96/8,256.87 = 2,222.46/x
  3. Step 3: Cross multiply
    5,502.96x = 8,256.87 × 2,222.46
  4. Step 4: Simplify right side
    5,502.96x = 18,350,522.02
  5. Step 5: Solve for x
    x = 18,350,522.02/5,502.96
  6. Step 6: Final answer
    x = 3,334.67

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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.