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Finding the Fourth Proportional to 5,898.99, 8,138.29 and 3,379.76

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Solution

The fourth proportional to 5,898.99, 8,138.29 and 3,379.76 is: 4,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.99 : 8,138.29 = 3,379.76 : x
  2. Step 2: Convert to fraction form
    5,898.99/8,138.29 = 3,379.76/x
  3. Step 3: Cross multiply
    5,898.99x = 8,138.29 × 3,379.76
  4. Step 4: Simplify right side
    5,898.99x = 27,505,409.42
  5. Step 5: Solve for x
    x = 27,505,409.42/5,898.99
  6. Step 6: Final answer
    x = 4,662.73

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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.