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Finding the Fourth Proportional to 5,613.80, 7,744.83 and 3,254.54

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Solution

The fourth proportional to 5,613.80, 7,744.83 and 3,254.54 is: 4,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.80 : 7,744.83 = 3,254.54 : x
  2. Step 2: Convert to fraction form
    5,613.80/7,744.83 = 3,254.54/x
  3. Step 3: Cross multiply
    5,613.80x = 7,744.83 × 3,254.54
  4. Step 4: Simplify right side
    5,613.80x = 25,205,859.03
  5. Step 5: Solve for x
    x = 25,205,859.03/5,613.80
  6. Step 6: Final answer
    x = 4,489.98

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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.