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Finding the Fourth Proportional to 5,764.26, 8,632.46 and 3,291.56

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Solution

The fourth proportional to 5,764.26, 8,632.46 and 3,291.56 is: 4,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.26 : 8,632.46 = 3,291.56 : x
  2. Step 2: Convert to fraction form
    5,764.26/8,632.46 = 3,291.56/x
  3. Step 3: Cross multiply
    5,764.26x = 8,632.46 × 3,291.56
  4. Step 4: Simplify right side
    5,764.26x = 28,414,260.04
  5. Step 5: Solve for x
    x = 28,414,260.04/5,764.26
  6. Step 6: Final answer
    x = 4,929.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.