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Finding the Fourth Proportional to 6,114.69, 8,441.82 and 3,878.46

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Solution

The fourth proportional to 6,114.69, 8,441.82 and 3,878.46 is: 5,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.69 : 8,441.82 = 3,878.46 : x
  2. Step 2: Convert to fraction form
    6,114.69/8,441.82 = 3,878.46/x
  3. Step 3: Cross multiply
    6,114.69x = 8,441.82 × 3,878.46
  4. Step 4: Simplify right side
    6,114.69x = 32,741,261.20
  5. Step 5: Solve for x
    x = 32,741,261.20/6,114.69
  6. Step 6: Final answer
    x = 5,354.53

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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.