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Finding the Fourth Proportional to 3,765.78, 5,193.49 and 2,823.69

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Solution

The fourth proportional to 3,765.78, 5,193.49 and 2,823.69 is: 3,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.78 : 5,193.49 = 2,823.69 : x
  2. Step 2: Convert to fraction form
    3,765.78/5,193.49 = 2,823.69/x
  3. Step 3: Cross multiply
    3,765.78x = 5,193.49 × 2,823.69
  4. Step 4: Simplify right side
    3,765.78x = 14,664,805.78
  5. Step 5: Solve for x
    x = 14,664,805.78/3,765.78
  6. Step 6: Final answer
    x = 3,894.23

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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.