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Finding the Fourth Proportional to 3,516.02, 5,272.50 and 1,667.67

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Solution

The fourth proportional to 3,516.02, 5,272.50 and 1,667.67 is: 2,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.02 : 5,272.50 = 1,667.67 : x
  2. Step 2: Convert to fraction form
    3,516.02/5,272.50 = 1,667.67/x
  3. Step 3: Cross multiply
    3,516.02x = 5,272.50 × 1,667.67
  4. Step 4: Simplify right side
    3,516.02x = 8,792,764.05
  5. Step 5: Solve for x
    x = 8,792,764.05/3,516.02
  6. Step 6: Final answer
    x = 2,500.77

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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.