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Finding the Fourth Proportional to 7,305.20, 10,945.20 and 3,401.60

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Solution

The fourth proportional to 7,305.20, 10,945.20 and 3,401.60 is: 5,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.20 : 10,945.20 = 3,401.60 : x
  2. Step 2: Convert to fraction form
    7,305.20/10,945.20 = 3,401.60/x
  3. Step 3: Cross multiply
    7,305.20x = 10,945.20 × 3,401.60
  4. Step 4: Simplify right side
    7,305.20x = 37,231,192.32
  5. Step 5: Solve for x
    x = 37,231,192.32/7,305.20
  6. Step 6: Final answer
    x = 5,096.53

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Why These Related Problems?

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