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Finding the Fourth Proportional to 5,412.71, 7,471.24 and 3,175.49

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Solution

The fourth proportional to 5,412.71, 7,471.24 and 3,175.49 is: 4,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.71 : 7,471.24 = 3,175.49 : x
  2. Step 2: Convert to fraction form
    5,412.71/7,471.24 = 3,175.49/x
  3. Step 3: Cross multiply
    5,412.71x = 7,471.24 × 3,175.49
  4. Step 4: Simplify right side
    5,412.71x = 23,724,813.35
  5. Step 5: Solve for x
    x = 23,724,813.35/5,412.71
  6. Step 6: Final answer
    x = 4,383.17

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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.