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Finding the Fourth Proportional to 3,383.46, 5,075.14 and 918.33

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Solution

The fourth proportional to 3,383.46, 5,075.14 and 918.33 is: 1,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.46 : 5,075.14 = 918.33 : x
  2. Step 2: Convert to fraction form
    3,383.46/5,075.14 = 918.33/x
  3. Step 3: Cross multiply
    3,383.46x = 5,075.14 × 918.33
  4. Step 4: Simplify right side
    3,383.46x = 4,660,653.32
  5. Step 5: Solve for x
    x = 4,660,653.32/3,383.46
  6. Step 6: Final answer
    x = 1,377.48

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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.