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Finding the Fourth Proportional to 3,941.42, 5,432.87 and 3,863.66

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Solution

The fourth proportional to 3,941.42, 5,432.87 and 3,863.66 is: 5,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.42 : 5,432.87 = 3,863.66 : x
  2. Step 2: Convert to fraction form
    3,941.42/5,432.87 = 3,863.66/x
  3. Step 3: Cross multiply
    3,941.42x = 5,432.87 × 3,863.66
  4. Step 4: Simplify right side
    3,941.42x = 20,990,745.00
  5. Step 5: Solve for x
    x = 20,990,745.00/3,941.42
  6. Step 6: Final answer
    x = 5,325.69

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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.