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Finding the Fourth Proportional to 5,536.34, 7,640.05 and 3,018.56

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Solution

The fourth proportional to 5,536.34, 7,640.05 and 3,018.56 is: 4,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.34 : 7,640.05 = 3,018.56 : x
  2. Step 2: Convert to fraction form
    5,536.34/7,640.05 = 3,018.56/x
  3. Step 3: Cross multiply
    5,536.34x = 7,640.05 × 3,018.56
  4. Step 4: Simplify right side
    5,536.34x = 23,061,949.33
  5. Step 5: Solve for x
    x = 23,061,949.33/5,536.34
  6. Step 6: Final answer
    x = 4,165.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.