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Finding the Fourth Proportional to 3,192.98, 4,407.09 and 3,009.38

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Solution

The fourth proportional to 3,192.98, 4,407.09 and 3,009.38 is: 4,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.98 : 4,407.09 = 3,009.38 : x
  2. Step 2: Convert to fraction form
    3,192.98/4,407.09 = 3,009.38/x
  3. Step 3: Cross multiply
    3,192.98x = 4,407.09 × 3,009.38
  4. Step 4: Simplify right side
    3,192.98x = 13,262,608.50
  5. Step 5: Solve for x
    x = 13,262,608.50/3,192.98
  6. Step 6: Final answer
    x = 4,153.68

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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.