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Finding the Fourth Proportional to 5,650, 7,796.87 and 3,291.99

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Solution

The fourth proportional to 5,650, 7,796.87 and 3,291.99 is: 4,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650 : 7,796.87 = 3,291.99 : x
  2. Step 2: Convert to fraction form
    5,650/7,796.87 = 3,291.99/x
  3. Step 3: Cross multiply
    5,650x = 7,796.87 × 3,291.99
  4. Step 4: Simplify right side
    5,650x = 25,667,218.07
  5. Step 5: Solve for x
    x = 25,667,218.07/5,650
  6. Step 6: Final answer
    x = 4,542.87

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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.