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Finding the Fourth Proportional to 5,196.97, 7,169.31 and 3,403.65

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Solution

The fourth proportional to 5,196.97, 7,169.31 and 3,403.65 is: 4,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.97 : 7,169.31 = 3,403.65 : x
  2. Step 2: Convert to fraction form
    5,196.97/7,169.31 = 3,403.65/x
  3. Step 3: Cross multiply
    5,196.97x = 7,169.31 × 3,403.65
  4. Step 4: Simplify right side
    5,196.97x = 24,401,821.98
  5. Step 5: Solve for x
    x = 24,401,821.98/5,196.97
  6. Step 6: Final answer
    x = 4,695.39

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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.