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Finding the Fourth Proportional to 5,198.40, 7,179.75 and 3,788.37

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Solution

The fourth proportional to 5,198.40, 7,179.75 and 3,788.37 is: 5,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.40 : 7,179.75 = 3,788.37 : x
  2. Step 2: Convert to fraction form
    5,198.40/7,179.75 = 3,788.37/x
  3. Step 3: Cross multiply
    5,198.40x = 7,179.75 × 3,788.37
  4. Step 4: Simplify right side
    5,198.40x = 27,199,549.51
  5. Step 5: Solve for x
    x = 27,199,549.51/5,198.40
  6. Step 6: Final answer
    x = 5,232.29

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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.