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Finding the Fourth Proportional to 5,629.65, 7,769.21 and 3,239.98

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Solution

The fourth proportional to 5,629.65, 7,769.21 and 3,239.98 is: 4,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.65 : 7,769.21 = 3,239.98 : x
  2. Step 2: Convert to fraction form
    5,629.65/7,769.21 = 3,239.98/x
  3. Step 3: Cross multiply
    5,629.65x = 7,769.21 × 3,239.98
  4. Step 4: Simplify right side
    5,629.65x = 25,172,085.02
  5. Step 5: Solve for x
    x = 25,172,085.02/5,629.65
  6. Step 6: Final answer
    x = 4,471.34

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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.