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Finding the Fourth Proportional to 5,363.70, 8,046.75 and 1,900.95

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Solution

The fourth proportional to 5,363.70, 8,046.75 and 1,900.95 is: 2,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.70 : 8,046.75 = 1,900.95 : x
  2. Step 2: Convert to fraction form
    5,363.70/8,046.75 = 1,900.95/x
  3. Step 3: Cross multiply
    5,363.70x = 8,046.75 × 1,900.95
  4. Step 4: Simplify right side
    5,363.70x = 15,296,469.41
  5. Step 5: Solve for x
    x = 15,296,469.41/5,363.70
  6. Step 6: Final answer
    x = 2,851.85

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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.