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Finding the Fourth Proportional to 5,844.15, 8,064.90 and 3,191.67

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Solution

The fourth proportional to 5,844.15, 8,064.90 and 3,191.67 is: 4,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.15 : 8,064.90 = 3,191.67 : x
  2. Step 2: Convert to fraction form
    5,844.15/8,064.90 = 3,191.67/x
  3. Step 3: Cross multiply
    5,844.15x = 8,064.90 × 3,191.67
  4. Step 4: Simplify right side
    5,844.15x = 25,740,499.38
  5. Step 5: Solve for x
    x = 25,740,499.38/5,844.15
  6. Step 6: Final answer
    x = 4,404.49

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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.