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Finding the Fourth Proportional to 3,969.14, 5,471.10 and 3,128.48

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Solution

The fourth proportional to 3,969.14, 5,471.10 and 3,128.48 is: 4,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.14 : 5,471.10 = 3,128.48 : x
  2. Step 2: Convert to fraction form
    3,969.14/5,471.10 = 3,128.48/x
  3. Step 3: Cross multiply
    3,969.14x = 5,471.10 × 3,128.48
  4. Step 4: Simplify right side
    3,969.14x = 17,116,226.93
  5. Step 5: Solve for x
    x = 17,116,226.93/3,969.14
  6. Step 6: Final answer
    x = 4,312.33

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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.