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Finding the Fourth Proportional to 5,948.74, 8,209.24 and 3,296.14

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Solution

The fourth proportional to 5,948.74, 8,209.24 and 3,296.14 is: 4,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.74 : 8,209.24 = 3,296.14 : x
  2. Step 2: Convert to fraction form
    5,948.74/8,209.24 = 3,296.14/x
  3. Step 3: Cross multiply
    5,948.74x = 8,209.24 × 3,296.14
  4. Step 4: Simplify right side
    5,948.74x = 27,058,804.33
  5. Step 5: Solve for x
    x = 27,058,804.33/5,948.74
  6. Step 6: Final answer
    x = 4,548.66

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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.