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Finding the Fourth Proportional to 6,105.04, 8,424.78 and 3,452.20

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Solution

The fourth proportional to 6,105.04, 8,424.78 and 3,452.20 is: 4,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.04 : 8,424.78 = 3,452.20 : x
  2. Step 2: Convert to fraction form
    6,105.04/8,424.78 = 3,452.20/x
  3. Step 3: Cross multiply
    6,105.04x = 8,424.78 × 3,452.20
  4. Step 4: Simplify right side
    6,105.04x = 29,084,025.52
  5. Step 5: Solve for x
    x = 29,084,025.52/6,105.04
  6. Step 6: Final answer
    x = 4,763.94

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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.