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Finding the Fourth Proportional to 5,636.72, 7,781.80 and 3,399.16

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Solution

The fourth proportional to 5,636.72, 7,781.80 and 3,399.16 is: 4,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.72 : 7,781.80 = 3,399.16 : x
  2. Step 2: Convert to fraction form
    5,636.72/7,781.80 = 3,399.16/x
  3. Step 3: Cross multiply
    5,636.72x = 7,781.80 × 3,399.16
  4. Step 4: Simplify right side
    5,636.72x = 26,451,546.84
  5. Step 5: Solve for x
    x = 26,451,546.84/5,636.72
  6. Step 6: Final answer
    x = 4,692.72

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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.