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Finding the Fourth Proportional to 3,617.94, 5,419.89 and 2,053.21

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Solution

The fourth proportional to 3,617.94, 5,419.89 and 2,053.21 is: 3,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.94 : 5,419.89 = 2,053.21 : x
  2. Step 2: Convert to fraction form
    3,617.94/5,419.89 = 2,053.21/x
  3. Step 3: Cross multiply
    3,617.94x = 5,419.89 × 2,053.21
  4. Step 4: Simplify right side
    3,617.94x = 11,128,145.25
  5. Step 5: Solve for x
    x = 11,128,145.25/3,617.94
  6. Step 6: Final answer
    x = 3,075.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.