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Finding the Fourth Proportional to 3,564.97, 4,919.21 and 1,993.03

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Solution

The fourth proportional to 3,564.97, 4,919.21 and 1,993.03 is: 2,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.97 : 4,919.21 = 1,993.03 : x
  2. Step 2: Convert to fraction form
    3,564.97/4,919.21 = 1,993.03/x
  3. Step 3: Cross multiply
    3,564.97x = 4,919.21 × 1,993.03
  4. Step 4: Simplify right side
    3,564.97x = 9,804,133.11
  5. Step 5: Solve for x
    x = 9,804,133.11/3,564.97
  6. Step 6: Final answer
    x = 2,750.13

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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.