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Finding the Fourth Proportional to 5,361.81, 8,042.37 and 1,613.49

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Solution

The fourth proportional to 5,361.81, 8,042.37 and 1,613.49 is: 2,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.81 : 8,042.37 = 1,613.49 : x
  2. Step 2: Convert to fraction form
    5,361.81/8,042.37 = 1,613.49/x
  3. Step 3: Cross multiply
    5,361.81x = 8,042.37 × 1,613.49
  4. Step 4: Simplify right side
    5,361.81x = 12,976,283.57
  5. Step 5: Solve for x
    x = 12,976,283.57/5,361.81
  6. Step 6: Final answer
    x = 2,420.13

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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.