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Finding the Fourth Proportional to 5,735.37, 8,602.24 and 1,839.27

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Solution

The fourth proportional to 5,735.37, 8,602.24 and 1,839.27 is: 2,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.37 : 8,602.24 = 1,839.27 : x
  2. Step 2: Convert to fraction form
    5,735.37/8,602.24 = 1,839.27/x
  3. Step 3: Cross multiply
    5,735.37x = 8,602.24 × 1,839.27
  4. Step 4: Simplify right side
    5,735.37x = 15,821,794.36
  5. Step 5: Solve for x
    x = 15,821,794.36/5,735.37
  6. Step 6: Final answer
    x = 2,758.64

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1.5x scale

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.