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Finding the Fourth Proportional to 5,945.98, 8,205.45 and 3,293.40

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Solution

The fourth proportional to 5,945.98, 8,205.45 and 3,293.40 is: 4,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.98 : 8,205.45 = 3,293.40 : x
  2. Step 2: Convert to fraction form
    5,945.98/8,205.45 = 3,293.40/x
  3. Step 3: Cross multiply
    5,945.98x = 8,205.45 × 3,293.40
  4. Step 4: Simplify right side
    5,945.98x = 27,023,829.03
  5. Step 5: Solve for x
    x = 27,023,829.03/5,945.98
  6. Step 6: Final answer
    x = 4,544.89

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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.