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Finding the Fourth Proportional to 5,536.46, 7,640.24 and 3,650.78

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Solution

The fourth proportional to 5,536.46, 7,640.24 and 3,650.78 is: 5,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.46 : 7,640.24 = 3,650.78 : x
  2. Step 2: Convert to fraction form
    5,536.46/7,640.24 = 3,650.78/x
  3. Step 3: Cross multiply
    5,536.46x = 7,640.24 × 3,650.78
  4. Step 4: Simplify right side
    5,536.46x = 27,892,835.39
  5. Step 5: Solve for x
    x = 27,892,835.39/5,536.46
  6. Step 6: Final answer
    x = 5,038.03

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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.