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Finding the Fourth Proportional to 3,393.88, 5,092.54 and 1,544.74

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Solution

The fourth proportional to 3,393.88, 5,092.54 and 1,544.74 is: 2,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.88 : 5,092.54 = 1,544.74 : x
  2. Step 2: Convert to fraction form
    3,393.88/5,092.54 = 1,544.74/x
  3. Step 3: Cross multiply
    3,393.88x = 5,092.54 × 1,544.74
  4. Step 4: Simplify right side
    3,393.88x = 7,866,633.65
  5. Step 5: Solve for x
    x = 7,866,633.65/3,393.88
  6. Step 6: Final answer
    x = 2,317.89

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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.