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Finding the Fourth Proportional to 3,678.46, 5,075.25 and 2,106.46

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Solution

The fourth proportional to 3,678.46, 5,075.25 and 2,106.46 is: 2,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.46 : 5,075.25 = 2,106.46 : x
  2. Step 2: Convert to fraction form
    3,678.46/5,075.25 = 2,106.46/x
  3. Step 3: Cross multiply
    3,678.46x = 5,075.25 × 2,106.46
  4. Step 4: Simplify right side
    3,678.46x = 10,690,811.12
  5. Step 5: Solve for x
    x = 10,690,811.12/3,678.46
  6. Step 6: Final answer
    x = 2,906.33

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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.