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Finding the Fourth Proportional to 3,638.42, 5,452.42 and 2,075.19

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Solution

The fourth proportional to 3,638.42, 5,452.42 and 2,075.19 is: 3,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.42 : 5,452.42 = 2,075.19 : x
  2. Step 2: Convert to fraction form
    3,638.42/5,452.42 = 2,075.19/x
  3. Step 3: Cross multiply
    3,638.42x = 5,452.42 × 2,075.19
  4. Step 4: Simplify right side
    3,638.42x = 11,314,783.45
  5. Step 5: Solve for x
    x = 11,314,783.45/3,638.42
  6. Step 6: Final answer
    x = 3,109.81

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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.