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Finding the Fourth Proportional to 5,709.87, 7,879.47 and 3,192.02

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Solution

The fourth proportional to 5,709.87, 7,879.47 and 3,192.02 is: 4,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.87 : 7,879.47 = 3,192.02 : x
  2. Step 2: Convert to fraction form
    5,709.87/7,879.47 = 3,192.02/x
  3. Step 3: Cross multiply
    5,709.87x = 7,879.47 × 3,192.02
  4. Step 4: Simplify right side
    5,709.87x = 25,151,386.43
  5. Step 5: Solve for x
    x = 25,151,386.43/5,709.87
  6. Step 6: Final answer
    x = 4,404.90

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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.