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Finding the Fourth Proportional to 3,382.98, 5,075.16 and 1,193.23

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Solution

The fourth proportional to 3,382.98, 5,075.16 and 1,193.23 is: 1,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.98 : 5,075.16 = 1,193.23 : x
  2. Step 2: Convert to fraction form
    3,382.98/5,075.16 = 1,193.23/x
  3. Step 3: Cross multiply
    3,382.98x = 5,075.16 × 1,193.23
  4. Step 4: Simplify right side
    3,382.98x = 6,055,833.17
  5. Step 5: Solve for x
    x = 6,055,833.17/3,382.98
  6. Step 6: Final answer
    x = 1,790.09

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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.