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Finding the Fourth Proportional to 4,845.37, 7,268.02 and 3,209.24

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Solution

The fourth proportional to 4,845.37, 7,268.02 and 3,209.24 is: 4,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.37 : 7,268.02 = 3,209.24 : x
  2. Step 2: Convert to fraction form
    4,845.37/7,268.02 = 3,209.24/x
  3. Step 3: Cross multiply
    4,845.37x = 7,268.02 × 3,209.24
  4. Step 4: Simplify right side
    4,845.37x = 23,324,820.50
  5. Step 5: Solve for x
    x = 23,324,820.50/4,845.37
  6. Step 6: Final answer
    x = 4,813.84

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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.