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Finding the Fourth Proportional to 3,823.69, 5,735.53 and 1,228.45

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Solution

The fourth proportional to 3,823.69, 5,735.53 and 1,228.45 is: 1,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.69 : 5,735.53 = 1,228.45 : x
  2. Step 2: Convert to fraction form
    3,823.69/5,735.53 = 1,228.45/x
  3. Step 3: Cross multiply
    3,823.69x = 5,735.53 × 1,228.45
  4. Step 4: Simplify right side
    3,823.69x = 7,045,813.23
  5. Step 5: Solve for x
    x = 7,045,813.23/3,823.69
  6. Step 6: Final answer
    x = 1,842.67

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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.