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Finding the Fourth Proportional to 4,993.49, 7,489.47 and 3,138.94

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Solution

The fourth proportional to 4,993.49, 7,489.47 and 3,138.94 is: 4,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.49 : 7,489.47 = 3,138.94 : x
  2. Step 2: Convert to fraction form
    4,993.49/7,489.47 = 3,138.94/x
  3. Step 3: Cross multiply
    4,993.49x = 7,489.47 × 3,138.94
  4. Step 4: Simplify right side
    4,993.49x = 23,508,996.96
  5. Step 5: Solve for x
    x = 23,508,996.96/4,993.49
  6. Step 6: Final answer
    x = 4,707.93

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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.