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Finding the Fourth Proportional to 3,441.50, 5,163.07 and 1,250.25

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Solution

The fourth proportional to 3,441.50, 5,163.07 and 1,250.25 is: 1,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.50 : 5,163.07 = 1,250.25 : x
  2. Step 2: Convert to fraction form
    3,441.50/5,163.07 = 1,250.25/x
  3. Step 3: Cross multiply
    3,441.50x = 5,163.07 × 1,250.25
  4. Step 4: Simplify right side
    3,441.50x = 6,455,125.14
  5. Step 5: Solve for x
    x = 6,455,125.14/3,441.50
  6. Step 6: Final answer
    x = 1,875.67

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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.