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Finding the Fourth Proportional to 3,502.86, 5,247.28 and 2,111.99

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Solution

The fourth proportional to 3,502.86, 5,247.28 and 2,111.99 is: 3,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.86 : 5,247.28 = 2,111.99 : x
  2. Step 2: Convert to fraction form
    3,502.86/5,247.28 = 2,111.99/x
  3. Step 3: Cross multiply
    3,502.86x = 5,247.28 × 2,111.99
  4. Step 4: Simplify right side
    3,502.86x = 11,082,202.89
  5. Step 5: Solve for x
    x = 11,082,202.89/3,502.86
  6. Step 6: Final answer
    x = 3,163.76

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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.