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Finding the Fourth Proportional to 3,681.86, 5,521.97 and 1,049.31

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Solution

The fourth proportional to 3,681.86, 5,521.97 and 1,049.31 is: 1,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.86 : 5,521.97 = 1,049.31 : x
  2. Step 2: Convert to fraction form
    3,681.86/5,521.97 = 1,049.31/x
  3. Step 3: Cross multiply
    3,681.86x = 5,521.97 × 1,049.31
  4. Step 4: Simplify right side
    3,681.86x = 5,794,273.80
  5. Step 5: Solve for x
    x = 5,794,273.80/3,681.86
  6. Step 6: Final answer
    x = 1,573.73

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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.