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Finding the Fourth Proportional to 5,536.50, 7,640.18 and 3,018.54

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Solution

The fourth proportional to 5,536.50, 7,640.18 and 3,018.54 is: 4,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.50 : 7,640.18 = 3,018.54 : x
  2. Step 2: Convert to fraction form
    5,536.50/7,640.18 = 3,018.54/x
  3. Step 3: Cross multiply
    5,536.50x = 7,640.18 × 3,018.54
  4. Step 4: Simplify right side
    5,536.50x = 23,062,188.94
  5. Step 5: Solve for x
    x = 23,062,188.94/5,536.50
  6. Step 6: Final answer
    x = 4,165.48

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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.