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Finding the Fourth Proportional to 5,755.63, 7,942.44 and 3,237.84

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Solution

The fourth proportional to 5,755.63, 7,942.44 and 3,237.84 is: 4,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.63 : 7,942.44 = 3,237.84 : x
  2. Step 2: Convert to fraction form
    5,755.63/7,942.44 = 3,237.84/x
  3. Step 3: Cross multiply
    5,755.63x = 7,942.44 × 3,237.84
  4. Step 4: Simplify right side
    5,755.63x = 25,716,349.93
  5. Step 5: Solve for x
    x = 25,716,349.93/5,755.63
  6. Step 6: Final answer
    x = 4,468.03

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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.