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Finding the Fourth Proportional to 5,755.46, 7,941.78 and 3,237.26

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Solution

The fourth proportional to 5,755.46, 7,941.78 and 3,237.26 is: 4,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.46 : 7,941.78 = 3,237.26 : x
  2. Step 2: Convert to fraction form
    5,755.46/7,941.78 = 3,237.26/x
  3. Step 3: Cross multiply
    5,755.46x = 7,941.78 × 3,237.26
  4. Step 4: Simplify right side
    5,755.46x = 25,709,567.01
  5. Step 5: Solve for x
    x = 25,709,567.01/5,755.46
  6. Step 6: Final answer
    x = 4,466.99

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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.