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Finding the Fourth Proportional to 3,935.23, 5,903.21 and 1,013.56

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Solution

The fourth proportional to 3,935.23, 5,903.21 and 1,013.56 is: 1,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.23 : 5,903.21 = 1,013.56 : x
  2. Step 2: Convert to fraction form
    3,935.23/5,903.21 = 1,013.56/x
  3. Step 3: Cross multiply
    3,935.23x = 5,903.21 × 1,013.56
  4. Step 4: Simplify right side
    3,935.23x = 5,983,257.53
  5. Step 5: Solve for x
    x = 5,983,257.53/3,935.23
  6. Step 6: Final answer
    x = 1,520.43

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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.