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Finding the Fourth Proportional to 3,502.17, 5,247.96 and 2,113.96

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Solution

The fourth proportional to 3,502.17, 5,247.96 and 2,113.96 is: 3,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.17 : 5,247.96 = 2,113.96 : x
  2. Step 2: Convert to fraction form
    3,502.17/5,247.96 = 2,113.96/x
  3. Step 3: Cross multiply
    3,502.17x = 5,247.96 × 2,113.96
  4. Step 4: Simplify right side
    3,502.17x = 11,093,977.52
  5. Step 5: Solve for x
    x = 11,093,977.52/3,502.17
  6. Step 6: Final answer
    x = 3,167.74

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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.