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Finding the Fourth Proportional to 4,338.67, 5,989.94 and 2,849.19

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Solution

The fourth proportional to 4,338.67, 5,989.94 and 2,849.19 is: 3,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.67 : 5,989.94 = 2,849.19 : x
  2. Step 2: Convert to fraction form
    4,338.67/5,989.94 = 2,849.19/x
  3. Step 3: Cross multiply
    4,338.67x = 5,989.94 × 2,849.19
  4. Step 4: Simplify right side
    4,338.67x = 17,066,477.15
  5. Step 5: Solve for x
    x = 17,066,477.15/4,338.67
  6. Step 6: Final answer
    x = 3,933.57

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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.