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Finding the Fourth Proportional to 3,401.87, 4,694.22 and 2,075.90

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Solution

The fourth proportional to 3,401.87, 4,694.22 and 2,075.90 is: 2,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.87 : 4,694.22 = 2,075.90 : x
  2. Step 2: Convert to fraction form
    3,401.87/4,694.22 = 2,075.90/x
  3. Step 3: Cross multiply
    3,401.87x = 4,694.22 × 2,075.90
  4. Step 4: Simplify right side
    3,401.87x = 9,744,707.83
  5. Step 5: Solve for x
    x = 9,744,707.83/3,401.87
  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.