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Finding the Fourth Proportional to 5,771.37, 7,965.63 and 3,381.60

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Solution

The fourth proportional to 5,771.37, 7,965.63 and 3,381.60 is: 4,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.37 : 7,965.63 = 3,381.60 : x
  2. Step 2: Convert to fraction form
    5,771.37/7,965.63 = 3,381.60/x
  3. Step 3: Cross multiply
    5,771.37x = 7,965.63 × 3,381.60
  4. Step 4: Simplify right side
    5,771.37x = 26,936,574.41
  5. Step 5: Solve for x
    x = 26,936,574.41/5,771.37
  6. Step 6: Final answer
    x = 4,667.28

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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.