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Finding the Fourth Proportional to 5,627.37, 7,763.19 and 3,638.57

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Solution

The fourth proportional to 5,627.37, 7,763.19 and 3,638.57 is: 5,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.37 : 7,763.19 = 3,638.57 : x
  2. Step 2: Convert to fraction form
    5,627.37/7,763.19 = 3,638.57/x
  3. Step 3: Cross multiply
    5,627.37x = 7,763.19 × 3,638.57
  4. Step 4: Simplify right side
    5,627.37x = 28,246,910.24
  5. Step 5: Solve for x
    x = 28,246,910.24/5,627.37
  6. Step 6: Final answer
    x = 5,019.56

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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.