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Finding the Fourth Proportional to 3,969.81, 5,477.63 and 2,571.75

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Solution

The fourth proportional to 3,969.81, 5,477.63 and 2,571.75 is: 3,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.81 : 5,477.63 = 2,571.75 : x
  2. Step 2: Convert to fraction form
    3,969.81/5,477.63 = 2,571.75/x
  3. Step 3: Cross multiply
    3,969.81x = 5,477.63 × 2,571.75
  4. Step 4: Simplify right side
    3,969.81x = 14,087,082.09
  5. Step 5: Solve for x
    x = 14,087,082.09/3,969.81
  6. Step 6: Final answer
    x = 3,548.55

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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.