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Finding the Fourth Proportional to 4,072.87, 6,100.98 and 3,412.90

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Solution

The fourth proportional to 4,072.87, 6,100.98 and 3,412.90 is: 5,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.87 : 6,100.98 = 3,412.90 : x
  2. Step 2: Convert to fraction form
    4,072.87/6,100.98 = 3,412.90/x
  3. Step 3: Cross multiply
    4,072.87x = 6,100.98 × 3,412.90
  4. Step 4: Simplify right side
    4,072.87x = 20,822,034.64
  5. Step 5: Solve for x
    x = 20,822,034.64/4,072.87
  6. Step 6: Final answer
    x = 5,112.37

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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.