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Finding the Fourth Proportional to 5,883.74, 8,119.58 and 3,194.97

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Solution

The fourth proportional to 5,883.74, 8,119.58 and 3,194.97 is: 4,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.74 : 8,119.58 = 3,194.97 : x
  2. Step 2: Convert to fraction form
    5,883.74/8,119.58 = 3,194.97/x
  3. Step 3: Cross multiply
    5,883.74x = 8,119.58 × 3,194.97
  4. Step 4: Simplify right side
    5,883.74x = 25,941,814.51
  5. Step 5: Solve for x
    x = 25,941,814.51/5,883.74
  6. Step 6: Final answer
    x = 4,409.07

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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.