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Finding the Fourth Proportional to 3,765.64, 5,196.57 and 2,109.64

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Solution

The fourth proportional to 3,765.64, 5,196.57 and 2,109.64 is: 2,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.64 : 5,196.57 = 2,109.64 : x
  2. Step 2: Convert to fraction form
    3,765.64/5,196.57 = 2,109.64/x
  3. Step 3: Cross multiply
    3,765.64x = 5,196.57 × 2,109.64
  4. Step 4: Simplify right side
    3,765.64x = 10,962,891.93
  5. Step 5: Solve for x
    x = 10,962,891.93/3,765.64
  6. Step 6: Final answer
    x = 2,911.30

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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.