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Finding the Fourth Proportional to 5,745.75, 8,614.25 and 2,970.66

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Solution

The fourth proportional to 5,745.75, 8,614.25 and 2,970.66 is: 4,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.75 : 8,614.25 = 2,970.66 : x
  2. Step 2: Convert to fraction form
    5,745.75/8,614.25 = 2,970.66/x
  3. Step 3: Cross multiply
    5,745.75x = 8,614.25 × 2,970.66
  4. Step 4: Simplify right side
    5,745.75x = 25,589,988.04
  5. Step 5: Solve for x
    x = 25,589,988.04/5,745.75
  6. Step 6: Final answer
    x = 4,453.72

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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.