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Finding the Fourth Proportional to 3,434.06, 5,151.13 and 837

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Solution

The fourth proportional to 3,434.06, 5,151.13 and 837 is: 1,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.06 : 5,151.13 = 837 : x
  2. Step 2: Convert to fraction form
    3,434.06/5,151.13 = 837/x
  3. Step 3: Cross multiply
    3,434.06x = 5,151.13 × 837
  4. Step 4: Simplify right side
    3,434.06x = 4,311,493.72
  5. Step 5: Solve for x
    x = 4,311,493.72/3,434.06
  6. Step 6: Final answer
    x = 1,255.51

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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.