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Finding the Fourth Proportional to 4,102.77, 5,651.94 and 3,263.22

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Solution

The fourth proportional to 4,102.77, 5,651.94 and 3,263.22 is: 4,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.77 : 5,651.94 = 3,263.22 : x
  2. Step 2: Convert to fraction form
    4,102.77/5,651.94 = 3,263.22/x
  3. Step 3: Cross multiply
    4,102.77x = 5,651.94 × 3,263.22
  4. Step 4: Simplify right side
    4,102.77x = 18,443,523.65
  5. Step 5: Solve for x
    x = 18,443,523.65/4,102.77
  6. Step 6: Final answer
    x = 4,495.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.