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Finding the Fourth Proportional to 5,891.66, 8,121.80 and 3,766.93

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Solution

The fourth proportional to 5,891.66, 8,121.80 and 3,766.93 is: 5,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.66 : 8,121.80 = 3,766.93 : x
  2. Step 2: Convert to fraction form
    5,891.66/8,121.80 = 3,766.93/x
  3. Step 3: Cross multiply
    5,891.66x = 8,121.80 × 3,766.93
  4. Step 4: Simplify right side
    5,891.66x = 30,594,252.07
  5. Step 5: Solve for x
    x = 30,594,252.07/5,891.66
  6. Step 6: Final answer
    x = 5,192.81

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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.