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Finding the Fourth Proportional to 3,765.29, 5,647.93 and 3,278.68

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Solution

The fourth proportional to 3,765.29, 5,647.93 and 3,278.68 is: 4,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.29 : 5,647.93 = 3,278.68 : x
  2. Step 2: Convert to fraction form
    3,765.29/5,647.93 = 3,278.68/x
  3. Step 3: Cross multiply
    3,765.29x = 5,647.93 × 3,278.68
  4. Step 4: Simplify right side
    3,765.29x = 18,517,732.82
  5. Step 5: Solve for x
    x = 18,517,732.82/3,765.29
  6. Step 6: Final answer
    x = 4,918.02

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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.