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Finding the Fourth Proportional to 5,738.73, 7,918.48 and 3,381.34

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Solution

The fourth proportional to 5,738.73, 7,918.48 and 3,381.34 is: 4,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.73 : 7,918.48 = 3,381.34 : x
  2. Step 2: Convert to fraction form
    5,738.73/7,918.48 = 3,381.34/x
  3. Step 3: Cross multiply
    5,738.73x = 7,918.48 × 3,381.34
  4. Step 4: Simplify right side
    5,738.73x = 26,775,073.16
  5. Step 5: Solve for x
    x = 26,775,073.16/5,738.73
  6. Step 6: Final answer
    x = 4,665.68

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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.