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Finding the Fourth Proportional to 3,974.98, 5,485.68 and 2,206.54

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Solution

The fourth proportional to 3,974.98, 5,485.68 and 2,206.54 is: 3,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.98 : 5,485.68 = 2,206.54 : x
  2. Step 2: Convert to fraction form
    3,974.98/5,485.68 = 2,206.54/x
  3. Step 3: Cross multiply
    3,974.98x = 5,485.68 × 2,206.54
  4. Step 4: Simplify right side
    3,974.98x = 12,104,372.35
  5. Step 5: Solve for x
    x = 12,104,372.35/3,974.98
  6. Step 6: Final answer
    x = 3,045.14

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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.