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Finding the Fourth Proportional to 6,202.56, 8,557.44 and 3,684

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Solution

The fourth proportional to 6,202.56, 8,557.44 and 3,684 is: 5,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.56 : 8,557.44 = 3,684 : x
  2. Step 2: Convert to fraction form
    6,202.56/8,557.44 = 3,684/x
  3. Step 3: Cross multiply
    6,202.56x = 8,557.44 × 3,684
  4. Step 4: Simplify right side
    6,202.56x = 31,525,608.96
  5. Step 5: Solve for x
    x = 31,525,608.96/6,202.56
  6. Step 6: Final answer
    x = 5,082.68

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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.