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Finding the Fourth Proportional to 5,542.42, 7,648.50 and 3,058.42

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Solution

The fourth proportional to 5,542.42, 7,648.50 and 3,058.42 is: 4,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.42 : 7,648.50 = 3,058.42 : x
  2. Step 2: Convert to fraction form
    5,542.42/7,648.50 = 3,058.42/x
  3. Step 3: Cross multiply
    5,542.42x = 7,648.50 × 3,058.42
  4. Step 4: Simplify right side
    5,542.42x = 23,392,325.37
  5. Step 5: Solve for x
    x = 23,392,325.37/5,542.42
  6. Step 6: Final answer
    x = 4,220.60

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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.