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Finding the Fourth Proportional to 5,129.16, 7,680.02 and 3,270.20

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Solution

The fourth proportional to 5,129.16, 7,680.02 and 3,270.20 is: 4,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.16 : 7,680.02 = 3,270.20 : x
  2. Step 2: Convert to fraction form
    5,129.16/7,680.02 = 3,270.20/x
  3. Step 3: Cross multiply
    5,129.16x = 7,680.02 × 3,270.20
  4. Step 4: Simplify right side
    5,129.16x = 25,115,201.40
  5. Step 5: Solve for x
    x = 25,115,201.40/5,129.16
  6. Step 6: Final answer
    x = 4,896.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.