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Finding the Fourth Proportional to 4,361.91, 6,017.07 and 3,766.86

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Solution

The fourth proportional to 4,361.91, 6,017.07 and 3,766.86 is: 5,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.91 : 6,017.07 = 3,766.86 : x
  2. Step 2: Convert to fraction form
    4,361.91/6,017.07 = 3,766.86/x
  3. Step 3: Cross multiply
    4,361.91x = 6,017.07 × 3,766.86
  4. Step 4: Simplify right side
    4,361.91x = 22,665,460.30
  5. Step 5: Solve for x
    x = 22,665,460.30/4,361.91
  6. Step 6: Final answer
    x = 5,196.22

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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.