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Finding the Fourth Proportional to 5,960.03, 8,223.27 and 3,442.25

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Solution

The fourth proportional to 5,960.03, 8,223.27 and 3,442.25 is: 4,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.03 : 8,223.27 = 3,442.25 : x
  2. Step 2: Convert to fraction form
    5,960.03/8,223.27 = 3,442.25/x
  3. Step 3: Cross multiply
    5,960.03x = 8,223.27 × 3,442.25
  4. Step 4: Simplify right side
    5,960.03x = 28,306,531.91
  5. Step 5: Solve for x
    x = 28,306,531.91/5,960.03
  6. Step 6: Final answer
    x = 4,749.39

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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.