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Finding the Fourth Proportional to 5,502.70, 8,258.10 and 2,218.15

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Solution

The fourth proportional to 5,502.70, 8,258.10 and 2,218.15 is: 3,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.70 : 8,258.10 = 2,218.15 : x
  2. Step 2: Convert to fraction form
    5,502.70/8,258.10 = 2,218.15/x
  3. Step 3: Cross multiply
    5,502.70x = 8,258.10 × 2,218.15
  4. Step 4: Simplify right side
    5,502.70x = 18,317,704.52
  5. Step 5: Solve for x
    x = 18,317,704.52/5,502.70
  6. Step 6: Final answer
    x = 3,328.86

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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.