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Finding the Fourth Proportional to 3,310.63, 4,965.37 and 938.88

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Solution

The fourth proportional to 3,310.63, 4,965.37 and 938.88 is: 1,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.63 : 4,965.37 = 938.88 : x
  2. Step 2: Convert to fraction form
    3,310.63/4,965.37 = 938.88/x
  3. Step 3: Cross multiply
    3,310.63x = 4,965.37 × 938.88
  4. Step 4: Simplify right side
    3,310.63x = 4,661,886.59
  5. Step 5: Solve for x
    x = 4,661,886.59/3,310.63
  6. Step 6: Final answer
    x = 1,408.16

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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.