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Finding the Fourth Proportional to 6,335.53, 8,743.05 and 3,683.44

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Solution

The fourth proportional to 6,335.53, 8,743.05 and 3,683.44 is: 5,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.53 : 8,743.05 = 3,683.44 : x
  2. Step 2: Convert to fraction form
    6,335.53/8,743.05 = 3,683.44/x
  3. Step 3: Cross multiply
    6,335.53x = 8,743.05 × 3,683.44
  4. Step 4: Simplify right side
    6,335.53x = 32,204,500.09
  5. Step 5: Solve for x
    x = 32,204,500.09/6,335.53
  6. Step 6: Final answer
    x = 5,083.16

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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.