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Finding the Fourth Proportional to 3,647.25, 5,033.25 and 2,075.49

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Solution

The fourth proportional to 3,647.25, 5,033.25 and 2,075.49 is: 2,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.25 : 5,033.25 = 2,075.49 : x
  2. Step 2: Convert to fraction form
    3,647.25/5,033.25 = 2,075.49/x
  3. Step 3: Cross multiply
    3,647.25x = 5,033.25 × 2,075.49
  4. Step 4: Simplify right side
    3,647.25x = 10,446,460.04
  5. Step 5: Solve for x
    x = 10,446,460.04/3,647.25
  6. Step 6: Final answer
    x = 2,864.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.