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Finding the Fourth Proportional to 5,956.96, 8,218.42 and 3,567

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Solution

The fourth proportional to 5,956.96, 8,218.42 and 3,567 is: 4,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.96 : 8,218.42 = 3,567 : x
  2. Step 2: Convert to fraction form
    5,956.96/8,218.42 = 3,567/x
  3. Step 3: Cross multiply
    5,956.96x = 8,218.42 × 3,567
  4. Step 4: Simplify right side
    5,956.96x = 29,315,104.14
  5. Step 5: Solve for x
    x = 29,315,104.14/5,956.96
  6. Step 6: Final answer
    x = 4,921.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.