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Finding the Fourth Proportional to 4,805.30, 7,195.80 and 3,833.30

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Solution

The fourth proportional to 4,805.30, 7,195.80 and 3,833.30 is: 5,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.30 : 7,195.80 = 3,833.30 : x
  2. Step 2: Convert to fraction form
    4,805.30/7,195.80 = 3,833.30/x
  3. Step 3: Cross multiply
    4,805.30x = 7,195.80 × 3,833.30
  4. Step 4: Simplify right side
    4,805.30x = 27,583,660.14
  5. Step 5: Solve for x
    x = 27,583,660.14/4,805.30
  6. Step 6: Final answer
    x = 5,740.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.