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Finding the Fourth Proportional to 3,231.63, 4,847.72 and 1,152.77

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Solution

The fourth proportional to 3,231.63, 4,847.72 and 1,152.77 is: 1,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.63 : 4,847.72 = 1,152.77 : x
  2. Step 2: Convert to fraction form
    3,231.63/4,847.72 = 1,152.77/x
  3. Step 3: Cross multiply
    3,231.63x = 4,847.72 × 1,152.77
  4. Step 4: Simplify right side
    3,231.63x = 5,588,276.18
  5. Step 5: Solve for x
    x = 5,588,276.18/3,231.63
  6. Step 6: Final answer
    x = 1,729.24

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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.