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Finding the Fourth Proportional to 3,450.50, 5,176.38 and 3,137.50

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Solution

The fourth proportional to 3,450.50, 5,176.38 and 3,137.50 is: 4,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.50 : 5,176.38 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    3,450.50/5,176.38 = 3,137.50/x
  3. Step 3: Cross multiply
    3,450.50x = 5,176.38 × 3,137.50
  4. Step 4: Simplify right side
    3,450.50x = 16,240,866.37
  5. Step 5: Solve for x
    x = 16,240,866.37/3,450.50
  6. Step 6: Final answer
    x = 4,706.82

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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.