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Finding the Fourth Proportional to 4,198.40, 5,790.64 and 4,012.28

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Solution

The fourth proportional to 4,198.40, 5,790.64 and 4,012.28 is: 5,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.40 : 5,790.64 = 4,012.28 : x
  2. Step 2: Convert to fraction form
    4,198.40/5,790.64 = 4,012.28/x
  3. Step 3: Cross multiply
    4,198.40x = 5,790.64 × 4,012.28
  4. Step 4: Simplify right side
    4,198.40x = 23,233,669.06
  5. Step 5: Solve for x
    x = 23,233,669.06/4,198.40
  6. Step 6: Final answer
    x = 5,533.93

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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.