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Finding the Fourth Proportional to 4,672.56, 7,012.33 and 1,900.22

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Solution

The fourth proportional to 4,672.56, 7,012.33 and 1,900.22 is: 2,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.56 : 7,012.33 = 1,900.22 : x
  2. Step 2: Convert to fraction form
    4,672.56/7,012.33 = 1,900.22/x
  3. Step 3: Cross multiply
    4,672.56x = 7,012.33 × 1,900.22
  4. Step 4: Simplify right side
    4,672.56x = 13,324,982.49
  5. Step 5: Solve for x
    x = 13,324,982.49/4,672.56
  6. Step 6: Final answer
    x = 2,851.75

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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.