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Finding the Fourth Proportional to 5,917.81, 8,166.62 and 3,559.93

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Solution

The fourth proportional to 5,917.81, 8,166.62 and 3,559.93 is: 4,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.81 : 8,166.62 = 3,559.93 : x
  2. Step 2: Convert to fraction form
    5,917.81/8,166.62 = 3,559.93/x
  3. Step 3: Cross multiply
    5,917.81x = 8,166.62 × 3,559.93
  4. Step 4: Simplify right side
    5,917.81x = 29,072,595.54
  5. Step 5: Solve for x
    x = 29,072,595.54/5,917.81
  6. Step 6: Final answer
    x = 4,912.73

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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.