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Finding the Fourth Proportional to 5,945.67, 8,205.84 and 3,708.23

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Solution

The fourth proportional to 5,945.67, 8,205.84 and 3,708.23 is: 5,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.67 : 8,205.84 = 3,708.23 : x
  2. Step 2: Convert to fraction form
    5,945.67/8,205.84 = 3,708.23/x
  3. Step 3: Cross multiply
    5,945.67x = 8,205.84 × 3,708.23
  4. Step 4: Simplify right side
    5,945.67x = 30,429,101.03
  5. Step 5: Solve for x
    x = 30,429,101.03/5,945.67
  6. Step 6: Final answer
    x = 5,117.86

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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.