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Finding the Fourth Proportional to 3,935.90, 5,903.84 and 1,013.96

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Solution

The fourth proportional to 3,935.90, 5,903.84 and 1,013.96 is: 1,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.90 : 5,903.84 = 1,013.96 : x
  2. Step 2: Convert to fraction form
    3,935.90/5,903.84 = 1,013.96/x
  3. Step 3: Cross multiply
    3,935.90x = 5,903.84 × 1,013.96
  4. Step 4: Simplify right side
    3,935.90x = 5,986,257.61
  5. Step 5: Solve for x
    x = 5,986,257.61/3,935.90
  6. Step 6: Final answer
    x = 1,520.94

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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.