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Finding the Fourth Proportional to 5,823.27, 8,036.06 and 3,170.66

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Solution

The fourth proportional to 5,823.27, 8,036.06 and 3,170.66 is: 4,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.27 : 8,036.06 = 3,170.66 : x
  2. Step 2: Convert to fraction form
    5,823.27/8,036.06 = 3,170.66/x
  3. Step 3: Cross multiply
    5,823.27x = 8,036.06 × 3,170.66
  4. Step 4: Simplify right side
    5,823.27x = 25,479,557.97
  5. Step 5: Solve for x
    x = 25,479,557.97/5,823.27
  6. Step 6: Final answer
    x = 4,375.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.