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Finding the Fourth Proportional to 3,930.70, 5,896.14 and 1,009.03

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Solution

The fourth proportional to 3,930.70, 5,896.14 and 1,009.03 is: 1,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.70 : 5,896.14 = 1,009.03 : x
  2. Step 2: Convert to fraction form
    3,930.70/5,896.14 = 1,009.03/x
  3. Step 3: Cross multiply
    3,930.70x = 5,896.14 × 1,009.03
  4. Step 4: Simplify right side
    3,930.70x = 5,949,382.14
  5. Step 5: Solve for x
    x = 5,949,382.14/3,930.70
  6. Step 6: Final answer
    x = 1,513.57

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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.