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Finding the Fourth Proportional to 3,935.37, 5,903.11 and 1,013.68

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Solution

The fourth proportional to 3,935.37, 5,903.11 and 1,013.68 is: 1,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.37 : 5,903.11 = 1,013.68 : x
  2. Step 2: Convert to fraction form
    3,935.37/5,903.11 = 1,013.68/x
  3. Step 3: Cross multiply
    3,935.37x = 5,903.11 × 1,013.68
  4. Step 4: Simplify right side
    3,935.37x = 5,983,864.54
  5. Step 5: Solve for x
    x = 5,983,864.54/3,935.37
  6. Step 6: Final answer
    x = 1,520.53

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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.