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Finding the Fourth Proportional to 5,954.63, 8,217.38 and 3,302.44

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Solution

The fourth proportional to 5,954.63, 8,217.38 and 3,302.44 is: 4,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.63 : 8,217.38 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    5,954.63/8,217.38 = 3,302.44/x
  3. Step 3: Cross multiply
    5,954.63x = 8,217.38 × 3,302.44
  4. Step 4: Simplify right side
    5,954.63x = 27,137,392.12
  5. Step 5: Solve for x
    x = 27,137,392.12/5,954.63
  6. Step 6: Final answer
    x = 4,557.36

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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.