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Finding the Fourth Proportional to 3,769.54, 5,208.44 and 3,636.50

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Solution

The fourth proportional to 3,769.54, 5,208.44 and 3,636.50 is: 5,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.54 : 5,208.44 = 3,636.50 : x
  2. Step 2: Convert to fraction form
    3,769.54/5,208.44 = 3,636.50/x
  3. Step 3: Cross multiply
    3,769.54x = 5,208.44 × 3,636.50
  4. Step 4: Simplify right side
    3,769.54x = 18,940,447.84
  5. Step 5: Solve for x
    x = 18,940,447.84/3,769.54
  6. Step 6: Final answer
    x = 5,024.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.