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Finding the Fourth Proportional to 3,824.49, 5,735.52 and 1,484.33

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Solution

The fourth proportional to 3,824.49, 5,735.52 and 1,484.33 is: 2,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.49 : 5,735.52 = 1,484.33 : x
  2. Step 2: Convert to fraction form
    3,824.49/5,735.52 = 1,484.33/x
  3. Step 3: Cross multiply
    3,824.49x = 5,735.52 × 1,484.33
  4. Step 4: Simplify right side
    3,824.49x = 8,513,404.40
  5. Step 5: Solve for x
    x = 8,513,404.40/3,824.49
  6. Step 6: Final answer
    x = 2,226.02

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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.