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Finding the Fourth Proportional to 3,020.36, 4,532.36 and 1,072.41

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Solution

The fourth proportional to 3,020.36, 4,532.36 and 1,072.41 is: 1,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.36 : 4,532.36 = 1,072.41 : x
  2. Step 2: Convert to fraction form
    3,020.36/4,532.36 = 1,072.41/x
  3. Step 3: Cross multiply
    3,020.36x = 4,532.36 × 1,072.41
  4. Step 4: Simplify right side
    3,020.36x = 4,860,525.83
  5. Step 5: Solve for x
    x = 4,860,525.83/3,020.36
  6. Step 6: Final answer
    x = 1,609.26

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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.