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Finding the Fourth Proportional to 5,945.85, 8,209.31 and 5,314.37

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Solution

The fourth proportional to 5,945.85, 8,209.31 and 5,314.37 is: 7,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.85 : 8,209.31 = 5,314.37 : x
  2. Step 2: Convert to fraction form
    5,945.85/8,209.31 = 5,314.37/x
  3. Step 3: Cross multiply
    5,945.85x = 8,209.31 × 5,314.37
  4. Step 4: Simplify right side
    5,945.85x = 43,627,243.17
  5. Step 5: Solve for x
    x = 43,627,243.17/5,945.85
  6. Step 6: Final answer
    x = 7,337.43

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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.