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Finding the Fourth Proportional to 3,382.29, 5,074.04 and 1,533.33

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Solution

The fourth proportional to 3,382.29, 5,074.04 and 1,533.33 is: 2,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.29 : 5,074.04 = 1,533.33 : x
  2. Step 2: Convert to fraction form
    3,382.29/5,074.04 = 1,533.33/x
  3. Step 3: Cross multiply
    3,382.29x = 5,074.04 × 1,533.33
  4. Step 4: Simplify right side
    3,382.29x = 7,780,177.75
  5. Step 5: Solve for x
    x = 7,780,177.75/3,382.29
  6. Step 6: Final answer
    x = 2,300.27

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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.