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Finding the Fourth Proportional to 5,738.67, 7,918.43 and 3,380.49

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Solution

The fourth proportional to 5,738.67, 7,918.43 and 3,380.49 is: 4,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.67 : 7,918.43 = 3,380.49 : x
  2. Step 2: Convert to fraction form
    5,738.67/7,918.43 = 3,380.49/x
  3. Step 3: Cross multiply
    5,738.67x = 7,918.43 × 3,380.49
  4. Step 4: Simplify right side
    5,738.67x = 26,768,156.53
  5. Step 5: Solve for x
    x = 26,768,156.53/5,738.67
  6. Step 6: Final answer
    x = 4,664.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.