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Finding the Fourth Proportional to 5,204.81, 7,182.65 and 2,846.97

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Solution

The fourth proportional to 5,204.81, 7,182.65 and 2,846.97 is: 3,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.81 : 7,182.65 = 2,846.97 : x
  2. Step 2: Convert to fraction form
    5,204.81/7,182.65 = 2,846.97/x
  3. Step 3: Cross multiply
    5,204.81x = 7,182.65 × 2,846.97
  4. Step 4: Simplify right side
    5,204.81x = 20,448,796.19
  5. Step 5: Solve for x
    x = 20,448,796.19/5,204.81
  6. Step 6: Final answer
    x = 3,928.82

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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.