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Finding the Fourth Proportional to 5,652, 8,467.02 and 4,168.50

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Solution

The fourth proportional to 5,652, 8,467.02 and 4,168.50 is: 6,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 8,467.02 = 4,168.50 : x
  2. Step 2: Convert to fraction form
    5,652/8,467.02 = 4,168.50/x
  3. Step 3: Cross multiply
    5,652x = 8,467.02 × 4,168.50
  4. Step 4: Simplify right side
    5,652x = 35,294,772.87
  5. Step 5: Solve for x
    x = 35,294,772.87/5,652
  6. Step 6: Final answer
    x = 6,244.65

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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.