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Finding the Fourth Proportional to 5,755.59, 7,942.52 and 3,237.80

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Solution

The fourth proportional to 5,755.59, 7,942.52 and 3,237.80 is: 4,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.59 : 7,942.52 = 3,237.80 : x
  2. Step 2: Convert to fraction form
    5,755.59/7,942.52 = 3,237.80/x
  3. Step 3: Cross multiply
    5,755.59x = 7,942.52 × 3,237.80
  4. Step 4: Simplify right side
    5,755.59x = 25,716,235.35
  5. Step 5: Solve for x
    x = 25,716,235.35/5,755.59
  6. Step 6: Final answer
    x = 4,468.05

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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.