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Finding the Fourth Proportional to 3,494, 5,236.06 and 1,934.70

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Solution

The fourth proportional to 3,494, 5,236.06 and 1,934.70 is: 2,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494 : 5,236.06 = 1,934.70 : x
  2. Step 2: Convert to fraction form
    3,494/5,236.06 = 1,934.70/x
  3. Step 3: Cross multiply
    3,494x = 5,236.06 × 1,934.70
  4. Step 4: Simplify right side
    3,494x = 10,130,205.28
  5. Step 5: Solve for x
    x = 10,130,205.28/3,494
  6. Step 6: Final answer
    x = 2,899.31

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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.