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Finding the Fourth Proportional to 3,647.82, 5,033.90 and 2,075.82

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Solution

The fourth proportional to 3,647.82, 5,033.90 and 2,075.82 is: 2,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.82 : 5,033.90 = 2,075.82 : x
  2. Step 2: Convert to fraction form
    3,647.82/5,033.90 = 2,075.82/x
  3. Step 3: Cross multiply
    3,647.82x = 5,033.90 × 2,075.82
  4. Step 4: Simplify right side
    3,647.82x = 10,449,459.92
  5. Step 5: Solve for x
    x = 10,449,459.92/3,647.82
  6. Step 6: Final answer
    x = 2,864.58

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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.