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Finding the Fourth Proportional to 5,755.85, 7,942.32 and 3,237.87

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Solution

The fourth proportional to 5,755.85, 7,942.32 and 3,237.87 is: 4,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.85 : 7,942.32 = 3,237.87 : x
  2. Step 2: Convert to fraction form
    5,755.85/7,942.32 = 3,237.87/x
  3. Step 3: Cross multiply
    5,755.85x = 7,942.32 × 3,237.87
  4. Step 4: Simplify right side
    5,755.85x = 25,716,199.66
  5. Step 5: Solve for x
    x = 25,716,199.66/5,755.85
  6. Step 6: Final answer
    x = 4,467.84

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