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Finding the Fourth Proportional to 5,471.38, 7,549.16 and 3,202.37

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Solution

The fourth proportional to 5,471.38, 7,549.16 and 3,202.37 is: 4,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.38 : 7,549.16 = 3,202.37 : x
  2. Step 2: Convert to fraction form
    5,471.38/7,549.16 = 3,202.37/x
  3. Step 3: Cross multiply
    5,471.38x = 7,549.16 × 3,202.37
  4. Step 4: Simplify right side
    5,471.38x = 24,175,203.51
  5. Step 5: Solve for x
    x = 24,175,203.51/5,471.38
  6. Step 6: Final answer
    x = 4,418.48

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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.