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Finding the Fourth Proportional to 5,767.57, 7,959.06 and 3,644.26

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Solution

The fourth proportional to 5,767.57, 7,959.06 and 3,644.26 is: 5,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.57 : 7,959.06 = 3,644.26 : x
  2. Step 2: Convert to fraction form
    5,767.57/7,959.06 = 3,644.26/x
  3. Step 3: Cross multiply
    5,767.57x = 7,959.06 × 3,644.26
  4. Step 4: Simplify right side
    5,767.57x = 29,004,864.10
  5. Step 5: Solve for x
    x = 29,004,864.10/5,767.57
  6. Step 6: Final answer
    x = 5,028.96

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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.