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Finding the Fourth Proportional to 5,948.96, 8,209.45 and 3,296.31

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Solution

The fourth proportional to 5,948.96, 8,209.45 and 3,296.31 is: 4,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.96 : 8,209.45 = 3,296.31 : x
  2. Step 2: Convert to fraction form
    5,948.96/8,209.45 = 3,296.31/x
  3. Step 3: Cross multiply
    5,948.96x = 8,209.45 × 3,296.31
  4. Step 4: Simplify right side
    5,948.96x = 27,060,892.13
  5. Step 5: Solve for x
    x = 27,060,892.13/5,948.96
  6. Step 6: Final answer
    x = 4,548.84

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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.