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Finding the Fourth Proportional to 5,650.75, 7,798.04 and 3,294.87

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Solution

The fourth proportional to 5,650.75, 7,798.04 and 3,294.87 is: 4,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.75 : 7,798.04 = 3,294.87 : x
  2. Step 2: Convert to fraction form
    5,650.75/7,798.04 = 3,294.87/x
  3. Step 3: Cross multiply
    5,650.75x = 7,798.04 × 3,294.87
  4. Step 4: Simplify right side
    5,650.75x = 25,693,528.05
  5. Step 5: Solve for x
    x = 25,693,528.05/5,650.75
  6. Step 6: Final answer
    x = 4,546.92

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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.