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Finding the Fourth Proportional to 3,072.80, 4,610.64 and 3,020.96

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Solution

The fourth proportional to 3,072.80, 4,610.64 and 3,020.96 is: 4,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.80 : 4,610.64 = 3,020.96 : x
  2. Step 2: Convert to fraction form
    3,072.80/4,610.64 = 3,020.96/x
  3. Step 3: Cross multiply
    3,072.80x = 4,610.64 × 3,020.96
  4. Step 4: Simplify right side
    3,072.80x = 13,928,559.01
  5. Step 5: Solve for x
    x = 13,928,559.01/3,072.80
  6. Step 6: Final answer
    x = 4,532.86

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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.