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Finding the Fourth Proportional to 5,627.75, 7,765.76 and 3,270.02

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Solution

The fourth proportional to 5,627.75, 7,765.76 and 3,270.02 is: 4,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.75 : 7,765.76 = 3,270.02 : x
  2. Step 2: Convert to fraction form
    5,627.75/7,765.76 = 3,270.02/x
  3. Step 3: Cross multiply
    5,627.75x = 7,765.76 × 3,270.02
  4. Step 4: Simplify right side
    5,627.75x = 25,394,159.86
  5. Step 5: Solve for x
    x = 25,394,159.86/5,627.75
  6. Step 6: Final answer
    x = 4,512.32

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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.