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Finding the Fourth Proportional to 3,388.15, 5,072.64 and 2,152.50

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Solution

The fourth proportional to 3,388.15, 5,072.64 and 2,152.50 is: 3,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.15 : 5,072.64 = 2,152.50 : x
  2. Step 2: Convert to fraction form
    3,388.15/5,072.64 = 2,152.50/x
  3. Step 3: Cross multiply
    3,388.15x = 5,072.64 × 2,152.50
  4. Step 4: Simplify right side
    3,388.15x = 10,918,857.60
  5. Step 5: Solve for x
    x = 10,918,857.60/3,388.15
  6. Step 6: Final answer
    x = 3,222.66

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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.