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Finding the Fourth Proportional to 4,049.75, 6,075 and 1,858.16

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Solution

The fourth proportional to 4,049.75, 6,075 and 1,858.16 is: 2,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.75 : 6,075 = 1,858.16 : x
  2. Step 2: Convert to fraction form
    4,049.75/6,075 = 1,858.16/x
  3. Step 3: Cross multiply
    4,049.75x = 6,075 × 1,858.16
  4. Step 4: Simplify right side
    4,049.75x = 11,288,322
  5. Step 5: Solve for x
    x = 11,288,322/4,049.75
  6. Step 6: Final answer
    x = 2,787.41

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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.