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Finding the Fourth Proportional to 5,410.92, 7,466.56 and 3,020.80

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Solution

The fourth proportional to 5,410.92, 7,466.56 and 3,020.80 is: 4,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.92 : 7,466.56 = 3,020.80 : x
  2. Step 2: Convert to fraction form
    5,410.92/7,466.56 = 3,020.80/x
  3. Step 3: Cross multiply
    5,410.92x = 7,466.56 × 3,020.80
  4. Step 4: Simplify right side
    5,410.92x = 22,554,984.45
  5. Step 5: Solve for x
    x = 22,554,984.45/5,410.92
  6. Step 6: Final answer
    x = 4,168.42

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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.