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Finding the Fourth Proportional to 3,673.30, 5,069.64 and 2,101.09

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Solution

The fourth proportional to 3,673.30, 5,069.64 and 2,101.09 is: 2,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.30 : 5,069.64 = 2,101.09 : x
  2. Step 2: Convert to fraction form
    3,673.30/5,069.64 = 2,101.09/x
  3. Step 3: Cross multiply
    3,673.30x = 5,069.64 × 2,101.09
  4. Step 4: Simplify right side
    3,673.30x = 10,651,769.91
  5. Step 5: Solve for x
    x = 10,651,769.91/3,673.30
  6. Step 6: Final answer
    x = 2,899.78

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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.