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Finding the Fourth Proportional to 3,722.31, 5,130.12 and 3,057.03

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Solution

The fourth proportional to 3,722.31, 5,130.12 and 3,057.03 is: 4,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.31 : 5,130.12 = 3,057.03 : x
  2. Step 2: Convert to fraction form
    3,722.31/5,130.12 = 3,057.03/x
  3. Step 3: Cross multiply
    3,722.31x = 5,130.12 × 3,057.03
  4. Step 4: Simplify right side
    3,722.31x = 15,682,930.74
  5. Step 5: Solve for x
    x = 15,682,930.74/3,722.31
  6. Step 6: Final answer
    x = 4,213.23

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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.