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Finding the Fourth Proportional to 4,936.64, 7,414.80 and 3,091.04

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Solution

The fourth proportional to 4,936.64, 7,414.80 and 3,091.04 is: 4,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.64 : 7,414.80 = 3,091.04 : x
  2. Step 2: Convert to fraction form
    4,936.64/7,414.80 = 3,091.04/x
  3. Step 3: Cross multiply
    4,936.64x = 7,414.80 × 3,091.04
  4. Step 4: Simplify right side
    4,936.64x = 22,919,443.39
  5. Step 5: Solve for x
    x = 22,919,443.39/4,936.64
  6. Step 6: Final answer
    x = 4,642.72

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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.