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Finding the Fourth Proportional to 5,790.97, 7,991.53 and 3,138.36

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Solution

The fourth proportional to 5,790.97, 7,991.53 and 3,138.36 is: 4,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.97 : 7,991.53 = 3,138.36 : x
  2. Step 2: Convert to fraction form
    5,790.97/7,991.53 = 3,138.36/x
  3. Step 3: Cross multiply
    5,790.97x = 7,991.53 × 3,138.36
  4. Step 4: Simplify right side
    5,790.97x = 25,080,298.09
  5. Step 5: Solve for x
    x = 25,080,298.09/5,790.97
  6. Step 6: Final answer
    x = 4,330.93

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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.