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Finding the Fourth Proportional to 5,956.86, 8,218.56 and 3,438.63

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Solution

The fourth proportional to 5,956.86, 8,218.56 and 3,438.63 is: 4,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.86 : 8,218.56 = 3,438.63 : x
  2. Step 2: Convert to fraction form
    5,956.86/8,218.56 = 3,438.63/x
  3. Step 3: Cross multiply
    5,956.86x = 8,218.56 × 3,438.63
  4. Step 4: Simplify right side
    5,956.86x = 28,260,586.97
  5. Step 5: Solve for x
    x = 28,260,586.97/5,956.86
  6. Step 6: Final answer
    x = 4,744.21

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