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Finding the Fourth Proportional to 3,647.16, 5,033.16 and 2,075.31

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Solution

The fourth proportional to 3,647.16, 5,033.16 and 2,075.31 is: 2,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.16 : 5,033.16 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    3,647.16/5,033.16 = 2,075.31/x
  3. Step 3: Cross multiply
    3,647.16x = 5,033.16 × 2,075.31
  4. Step 4: Simplify right side
    3,647.16x = 10,445,367.28
  5. Step 5: Solve for x
    x = 10,445,367.28/3,647.16
  6. Step 6: Final answer
    x = 2,863.97

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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.