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Finding the Fourth Proportional to 5,956.54, 8,216.26 and 3,834.83

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Solution

The fourth proportional to 5,956.54, 8,216.26 and 3,834.83 is: 5,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.54 : 8,216.26 = 3,834.83 : x
  2. Step 2: Convert to fraction form
    5,956.54/8,216.26 = 3,834.83/x
  3. Step 3: Cross multiply
    5,956.54x = 8,216.26 × 3,834.83
  4. Step 4: Simplify right side
    5,956.54x = 31,507,971.29
  5. Step 5: Solve for x
    x = 31,507,971.29/5,956.54
  6. Step 6: Final answer
    x = 5,289.65

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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.