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Finding the Fourth Proportional to 5,693.59, 8,542.05 and 2,361.23

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Solution

The fourth proportional to 5,693.59, 8,542.05 and 2,361.23 is: 3,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.59 : 8,542.05 = 2,361.23 : x
  2. Step 2: Convert to fraction form
    5,693.59/8,542.05 = 2,361.23/x
  3. Step 3: Cross multiply
    5,693.59x = 8,542.05 × 2,361.23
  4. Step 4: Simplify right side
    5,693.59x = 20,169,744.72
  5. Step 5: Solve for x
    x = 20,169,744.72/5,693.59
  6. Step 6: Final answer
    x = 3,542.54

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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.