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Finding the Fourth Proportional to 5,296.56, 7,309.72 and 3,059.20

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Solution

The fourth proportional to 5,296.56, 7,309.72 and 3,059.20 is: 4,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.56 : 7,309.72 = 3,059.20 : x
  2. Step 2: Convert to fraction form
    5,296.56/7,309.72 = 3,059.20/x
  3. Step 3: Cross multiply
    5,296.56x = 7,309.72 × 3,059.20
  4. Step 4: Simplify right side
    5,296.56x = 22,361,895.42
  5. Step 5: Solve for x
    x = 22,361,895.42/5,296.56
  6. Step 6: Final answer
    x = 4,221.97

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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.