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Finding the Fourth Proportional to 5,956.68, 8,933.19 and 4,119.60

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Solution

The fourth proportional to 5,956.68, 8,933.19 and 4,119.60 is: 6,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.68 : 8,933.19 = 4,119.60 : x
  2. Step 2: Convert to fraction form
    5,956.68/8,933.19 = 4,119.60/x
  3. Step 3: Cross multiply
    5,956.68x = 8,933.19 × 4,119.60
  4. Step 4: Simplify right side
    5,956.68x = 36,801,169.52
  5. Step 5: Solve for x
    x = 36,801,169.52/5,956.68
  6. Step 6: Final answer
    x = 6,178.13

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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.