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Finding the Fourth Proportional to 6,334.81, 8,741.99 and 3,540.31

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Solution

The fourth proportional to 6,334.81, 8,741.99 and 3,540.31 is: 4,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.81 : 8,741.99 = 3,540.31 : x
  2. Step 2: Convert to fraction form
    6,334.81/8,741.99 = 3,540.31/x
  3. Step 3: Cross multiply
    6,334.81x = 8,741.99 × 3,540.31
  4. Step 4: Simplify right side
    6,334.81x = 30,949,310.91
  5. Step 5: Solve for x
    x = 30,949,310.91/6,334.81
  6. Step 6: Final answer
    x = 4,885.60

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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.