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Finding the Fourth Proportional to 5,556.86, 7,669.13 and 3,198.95

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Solution

The fourth proportional to 5,556.86, 7,669.13 and 3,198.95 is: 4,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.86 : 7,669.13 = 3,198.95 : x
  2. Step 2: Convert to fraction form
    5,556.86/7,669.13 = 3,198.95/x
  3. Step 3: Cross multiply
    5,556.86x = 7,669.13 × 3,198.95
  4. Step 4: Simplify right side
    5,556.86x = 24,533,109.07
  5. Step 5: Solve for x
    x = 24,533,109.07/5,556.86
  6. Step 6: Final answer
    x = 4,414.93

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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.