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Finding the Fourth Proportional to 5,823.26, 8,036.12 and 3,170.69

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Solution

The fourth proportional to 5,823.26, 8,036.12 and 3,170.69 is: 4,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.26 : 8,036.12 = 3,170.69 : x
  2. Step 2: Convert to fraction form
    5,823.26/8,036.12 = 3,170.69/x
  3. Step 3: Cross multiply
    5,823.26x = 8,036.12 × 3,170.69
  4. Step 4: Simplify right side
    5,823.26x = 25,480,045.32
  5. Step 5: Solve for x
    x = 25,480,045.32/5,823.26
  6. Step 6: Final answer
    x = 4,375.56

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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.