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Finding the Fourth Proportional to 3,471.75, 4,791.56 and 2,075.31

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Solution

The fourth proportional to 3,471.75, 4,791.56 and 2,075.31 is: 2,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.75 : 4,791.56 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    3,471.75/4,791.56 = 2,075.31/x
  3. Step 3: Cross multiply
    3,471.75x = 4,791.56 × 2,075.31
  4. Step 4: Simplify right side
    3,471.75x = 9,943,962.01
  5. Step 5: Solve for x
    x = 9,943,962.01/3,471.75
  6. Step 6: Final answer
    x = 2,864.25

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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.