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Finding the Fourth Proportional to 5,945.16, 8,201.97 and 3,820.40

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Solution

The fourth proportional to 5,945.16, 8,201.97 and 3,820.40 is: 5,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.16 : 8,201.97 = 3,820.40 : x
  2. Step 2: Convert to fraction form
    5,945.16/8,201.97 = 3,820.40/x
  3. Step 3: Cross multiply
    5,945.16x = 8,201.97 × 3,820.40
  4. Step 4: Simplify right side
    5,945.16x = 31,334,765.18
  5. Step 5: Solve for x
    x = 31,334,765.18/5,945.16
  6. Step 6: Final answer
    x = 5,270.63

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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.