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Finding the Fourth Proportional to 3,863.26, 5,329.29 and 2,291.86

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Solution

The fourth proportional to 3,863.26, 5,329.29 and 2,291.86 is: 3,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.26 : 5,329.29 = 2,291.86 : x
  2. Step 2: Convert to fraction form
    3,863.26/5,329.29 = 2,291.86/x
  3. Step 3: Cross multiply
    3,863.26x = 5,329.29 × 2,291.86
  4. Step 4: Simplify right side
    3,863.26x = 12,213,986.58
  5. Step 5: Solve for x
    x = 12,213,986.58/3,863.26
  6. Step 6: Final answer
    x = 3,161.58

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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.