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Finding the Fourth Proportional to 6,096.20, 8,412.30 and 3,443.60

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Solution

The fourth proportional to 6,096.20, 8,412.30 and 3,443.60 is: 4,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.20 : 8,412.30 = 3,443.60 : x
  2. Step 2: Convert to fraction form
    6,096.20/8,412.30 = 3,443.60/x
  3. Step 3: Cross multiply
    6,096.20x = 8,412.30 × 3,443.60
  4. Step 4: Simplify right side
    6,096.20x = 28,968,596.28
  5. Step 5: Solve for x
    x = 28,968,596.28/6,096.20
  6. Step 6: Final answer
    x = 4,751.91

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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.