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Finding the Fourth Proportional to 5,203.92, 7,181.16 and 2,845.92

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Solution

The fourth proportional to 5,203.92, 7,181.16 and 2,845.92 is: 3,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.92 : 7,181.16 = 2,845.92 : x
  2. Step 2: Convert to fraction form
    5,203.92/7,181.16 = 2,845.92/x
  3. Step 3: Cross multiply
    5,203.92x = 7,181.16 × 2,845.92
  4. Step 4: Simplify right side
    5,203.92x = 20,437,006.87
  5. Step 5: Solve for x
    x = 20,437,006.87/5,203.92
  6. Step 6: Final answer
    x = 3,927.23

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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.