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Finding the Fourth Proportional to 5,093.02, 7,640.34 and 1,805.38

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Solution

The fourth proportional to 5,093.02, 7,640.34 and 1,805.38 is: 2,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.02 : 7,640.34 = 1,805.38 : x
  2. Step 2: Convert to fraction form
    5,093.02/7,640.34 = 1,805.38/x
  3. Step 3: Cross multiply
    5,093.02x = 7,640.34 × 1,805.38
  4. Step 4: Simplify right side
    5,093.02x = 13,793,717.03
  5. Step 5: Solve for x
    x = 13,793,717.03/5,093.02
  6. Step 6: Final answer
    x = 2,708.36

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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.