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Finding the Fourth Proportional to 5,956.60, 8,216.39 and 3,834.90

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Solution

The fourth proportional to 5,956.60, 8,216.39 and 3,834.90 is: 5,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.60 : 8,216.39 = 3,834.90 : x
  2. Step 2: Convert to fraction form
    5,956.60/8,216.39 = 3,834.90/x
  3. Step 3: Cross multiply
    5,956.60x = 8,216.39 × 3,834.90
  4. Step 4: Simplify right side
    5,956.60x = 31,508,973.75
  5. Step 5: Solve for x
    x = 31,508,973.75/5,956.60
  6. Step 6: Final answer
    x = 5,289.76

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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.