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Finding the Fourth Proportional to 5,193.34, 7,789.57 and 1,683.27

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Solution

The fourth proportional to 5,193.34, 7,789.57 and 1,683.27 is: 2,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.34 : 7,789.57 = 1,683.27 : x
  2. Step 2: Convert to fraction form
    5,193.34/7,789.57 = 1,683.27/x
  3. Step 3: Cross multiply
    5,193.34x = 7,789.57 × 1,683.27
  4. Step 4: Simplify right side
    5,193.34x = 13,111,934.33
  5. Step 5: Solve for x
    x = 13,111,934.33/5,193.34
  6. Step 6: Final answer
    x = 2,524.76

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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.