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Finding the Fourth Proportional to 3,461.06, 5,191.57 and 864

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Solution

The fourth proportional to 3,461.06, 5,191.57 and 864 is: 1,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.06 : 5,191.57 = 864 : x
  2. Step 2: Convert to fraction form
    3,461.06/5,191.57 = 864/x
  3. Step 3: Cross multiply
    3,461.06x = 5,191.57 × 864
  4. Step 4: Simplify right side
    3,461.06x = 4,485,517.56
  5. Step 5: Solve for x
    x = 4,485,517.56/3,461.06
  6. Step 6: Final answer
    x = 1,295.99

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Why These Related Problems?

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