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Finding the Fourth Proportional to 5,755.52, 7,942.16 and 3,237.14

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Solution

The fourth proportional to 5,755.52, 7,942.16 and 3,237.14 is: 4,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.52 : 7,942.16 = 3,237.14 : x
  2. Step 2: Convert to fraction form
    5,755.52/7,942.16 = 3,237.14/x
  3. Step 3: Cross multiply
    5,755.52x = 7,942.16 × 3,237.14
  4. Step 4: Simplify right side
    5,755.52x = 25,709,883.82
  5. Step 5: Solve for x
    x = 25,709,883.82/5,755.52
  6. Step 6: Final answer
    x = 4,467.00

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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.