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Finding the Fourth Proportional to 4,530.78, 6,245.37 and 3,202.38

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Solution

The fourth proportional to 4,530.78, 6,245.37 and 3,202.38 is: 4,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.78 : 6,245.37 = 3,202.38 : x
  2. Step 2: Convert to fraction form
    4,530.78/6,245.37 = 3,202.38/x
  3. Step 3: Cross multiply
    4,530.78x = 6,245.37 × 3,202.38
  4. Step 4: Simplify right side
    4,530.78x = 20,000,047.98
  5. Step 5: Solve for x
    x = 20,000,047.98/4,530.78
  6. Step 6: Final answer
    x = 4,414.26

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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.