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Finding the Fourth Proportional to 3,765.81, 5,196.82 and 2,109.81

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Solution

The fourth proportional to 3,765.81, 5,196.82 and 2,109.81 is: 2,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.81 : 5,196.82 = 2,109.81 : x
  2. Step 2: Convert to fraction form
    3,765.81/5,196.82 = 2,109.81/x
  3. Step 3: Cross multiply
    3,765.81x = 5,196.82 × 2,109.81
  4. Step 4: Simplify right side
    3,765.81x = 10,964,302.80
  5. Step 5: Solve for x
    x = 10,964,302.80/3,765.81
  6. Step 6: Final answer
    x = 2,911.54

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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.