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Finding the Fourth Proportional to 5,349, 8,022.36 and 2,061

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Solution

The fourth proportional to 5,349, 8,022.36 and 2,061 is: 3,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349 : 8,022.36 = 2,061 : x
  2. Step 2: Convert to fraction form
    5,349/8,022.36 = 2,061/x
  3. Step 3: Cross multiply
    5,349x = 8,022.36 × 2,061
  4. Step 4: Simplify right side
    5,349x = 16,534,083.96
  5. Step 5: Solve for x
    x = 16,534,083.96/5,349
  6. Step 6: Final answer
    x = 3,091.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.