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Finding the Fourth Proportional to 3,241.93, 4,839.22 and 2,782.66

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Solution

The fourth proportional to 3,241.93, 4,839.22 and 2,782.66 is: 4,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.93 : 4,839.22 = 2,782.66 : x
  2. Step 2: Convert to fraction form
    3,241.93/4,839.22 = 2,782.66/x
  3. Step 3: Cross multiply
    3,241.93x = 4,839.22 × 2,782.66
  4. Step 4: Simplify right side
    3,241.93x = 13,465,884.87
  5. Step 5: Solve for x
    x = 13,465,884.87/3,241.93
  6. Step 6: Final answer
    x = 4,153.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.