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Finding the Fourth Proportional to 4,626.42, 6,939.63 and 1,163.76

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Solution

The fourth proportional to 4,626.42, 6,939.63 and 1,163.76 is: 1,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.42 : 6,939.63 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    4,626.42/6,939.63 = 1,163.76/x
  3. Step 3: Cross multiply
    4,626.42x = 6,939.63 × 1,163.76
  4. Step 4: Simplify right side
    4,626.42x = 8,076,063.81
  5. Step 5: Solve for x
    x = 8,076,063.81/4,626.42
  6. Step 6: Final answer
    x = 1,745.64

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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.