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Finding the Fourth Proportional to 3,393.98, 5,092.50 and 2,161.07

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Solution

The fourth proportional to 3,393.98, 5,092.50 and 2,161.07 is: 3,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.98 : 5,092.50 = 2,161.07 : x
  2. Step 2: Convert to fraction form
    3,393.98/5,092.50 = 2,161.07/x
  3. Step 3: Cross multiply
    3,393.98x = 5,092.50 × 2,161.07
  4. Step 4: Simplify right side
    3,393.98x = 11,005,248.98
  5. Step 5: Solve for x
    x = 11,005,248.98/3,393.98
  6. Step 6: Final answer
    x = 3,242.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.