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Finding the Fourth Proportional to 3,647.67, 5,033.74 and 2,075.76

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Solution

The fourth proportional to 3,647.67, 5,033.74 and 2,075.76 is: 2,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.67 : 5,033.74 = 2,075.76 : x
  2. Step 2: Convert to fraction form
    3,647.67/5,033.74 = 2,075.76/x
  3. Step 3: Cross multiply
    3,647.67x = 5,033.74 × 2,075.76
  4. Step 4: Simplify right side
    3,647.67x = 10,448,836.14
  5. Step 5: Solve for x
    x = 10,448,836.14/3,647.67
  6. Step 6: Final answer
    x = 2,864.52

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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.