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Finding the Fourth Proportional to 4,093.23, 6,139.89 and 1,015.23

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Solution

The fourth proportional to 4,093.23, 6,139.89 and 1,015.23 is: 1,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.23 : 6,139.89 = 1,015.23 : x
  2. Step 2: Convert to fraction form
    4,093.23/6,139.89 = 1,015.23/x
  3. Step 3: Cross multiply
    4,093.23x = 6,139.89 × 1,015.23
  4. Step 4: Simplify right side
    4,093.23x = 6,233,400.52
  5. Step 5: Solve for x
    x = 6,233,400.52/4,093.23
  6. Step 6: Final answer
    x = 1,522.86

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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.