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Finding the Fourth Proportional to 5,480.86, 7,561.74 and 3,121.33

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Solution

The fourth proportional to 5,480.86, 7,561.74 and 3,121.33 is: 4,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.86 : 7,561.74 = 3,121.33 : x
  2. Step 2: Convert to fraction form
    5,480.86/7,561.74 = 3,121.33/x
  3. Step 3: Cross multiply
    5,480.86x = 7,561.74 × 3,121.33
  4. Step 4: Simplify right side
    5,480.86x = 23,602,685.91
  5. Step 5: Solve for x
    x = 23,602,685.91/5,480.86
  6. Step 6: Final answer
    x = 4,306.38

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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.