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Finding the Fourth Proportional to 5,627.22, 7,765.56 and 3,143.22

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Solution

The fourth proportional to 5,627.22, 7,765.56 and 3,143.22 is: 4,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.22 : 7,765.56 = 3,143.22 : x
  2. Step 2: Convert to fraction form
    5,627.22/7,765.56 = 3,143.22/x
  3. Step 3: Cross multiply
    5,627.22x = 7,765.56 × 3,143.22
  4. Step 4: Simplify right side
    5,627.22x = 24,408,863.50
  5. Step 5: Solve for x
    x = 24,408,863.50/5,627.22
  6. Step 6: Final answer
    x = 4,337.64

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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.