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Finding the Fourth Proportional to 5,203.81, 7,181.75 and 2,846.30

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Solution

The fourth proportional to 5,203.81, 7,181.75 and 2,846.30 is: 3,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.81 : 7,181.75 = 2,846.30 : x
  2. Step 2: Convert to fraction form
    5,203.81/7,181.75 = 2,846.30/x
  3. Step 3: Cross multiply
    5,203.81x = 7,181.75 × 2,846.30
  4. Step 4: Simplify right side
    5,203.81x = 20,441,415.03
  5. Step 5: Solve for x
    x = 20,441,415.03/5,203.81
  6. Step 6: Final answer
    x = 3,928.16

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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.