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Finding the Fourth Proportional to 6,266.63, 8,649.38 and 3,908.32

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Solution

The fourth proportional to 6,266.63, 8,649.38 and 3,908.32 is: 5,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.63 : 8,649.38 = 3,908.32 : x
  2. Step 2: Convert to fraction form
    6,266.63/8,649.38 = 3,908.32/x
  3. Step 3: Cross multiply
    6,266.63x = 8,649.38 × 3,908.32
  4. Step 4: Simplify right side
    6,266.63x = 33,804,532.99
  5. Step 5: Solve for x
    x = 33,804,532.99/6,266.63
  6. Step 6: Final answer
    x = 5,394.37

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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.