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Finding the Fourth Proportional to 6,335.52, 8,742.24 and 3,683.52

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Solution

The fourth proportional to 6,335.52, 8,742.24 and 3,683.52 is: 5,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.52 : 8,742.24 = 3,683.52 : x
  2. Step 2: Convert to fraction form
    6,335.52/8,742.24 = 3,683.52/x
  3. Step 3: Cross multiply
    6,335.52x = 8,742.24 × 3,683.52
  4. Step 4: Simplify right side
    6,335.52x = 32,202,215.88
  5. Step 5: Solve for x
    x = 32,202,215.88/6,335.52
  6. Step 6: Final answer
    x = 5,082.81

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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.