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Finding the Fourth Proportional to 5,736.21, 8,601.47 and 2,037.88

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Solution

The fourth proportional to 5,736.21, 8,601.47 and 2,037.88 is: 3,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.21 : 8,601.47 = 2,037.88 : x
  2. Step 2: Convert to fraction form
    5,736.21/8,601.47 = 2,037.88/x
  3. Step 3: Cross multiply
    5,736.21x = 8,601.47 × 2,037.88
  4. Step 4: Simplify right side
    5,736.21x = 17,528,763.68
  5. Step 5: Solve for x
    x = 17,528,763.68/5,736.21
  6. Step 6: Final answer
    x = 3,055.81

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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.