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Finding the Fourth Proportional to 5,948.23, 8,209.01 and 3,295.89

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Solution

The fourth proportional to 5,948.23, 8,209.01 and 3,295.89 is: 4,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.23 : 8,209.01 = 3,295.89 : x
  2. Step 2: Convert to fraction form
    5,948.23/8,209.01 = 3,295.89/x
  3. Step 3: Cross multiply
    5,948.23x = 8,209.01 × 3,295.89
  4. Step 4: Simplify right side
    5,948.23x = 27,055,993.97
  5. Step 5: Solve for x
    x = 27,055,993.97/5,948.23
  6. Step 6: Final answer
    x = 4,548.58

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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.