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Finding the Fourth Proportional to 6,401.57, 9,600.41 and 2,240.80

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Solution

The fourth proportional to 6,401.57, 9,600.41 and 2,240.80 is: 3,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.57 : 9,600.41 = 2,240.80 : x
  2. Step 2: Convert to fraction form
    6,401.57/9,600.41 = 2,240.80/x
  3. Step 3: Cross multiply
    6,401.57x = 9,600.41 × 2,240.80
  4. Step 4: Simplify right side
    6,401.57x = 21,512,598.73
  5. Step 5: Solve for x
    x = 21,512,598.73/6,401.57
  6. Step 6: Final answer
    x = 3,360.52

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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.