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Finding the Fourth Proportional to 3,673.14, 5,069.16 and 2,101.20

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Solution

The fourth proportional to 3,673.14, 5,069.16 and 2,101.20 is: 2,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.14 : 5,069.16 = 2,101.20 : x
  2. Step 2: Convert to fraction form
    3,673.14/5,069.16 = 2,101.20/x
  3. Step 3: Cross multiply
    3,673.14x = 5,069.16 × 2,101.20
  4. Step 4: Simplify right side
    3,673.14x = 10,651,318.99
  5. Step 5: Solve for x
    x = 10,651,318.99/3,673.14
  6. Step 6: Final answer
    x = 2,899.79

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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.