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Finding the Fourth Proportional to 3,974.72, 5,485.04 and 2,206.32

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Solution

The fourth proportional to 3,974.72, 5,485.04 and 2,206.32 is: 3,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.72 : 5,485.04 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    3,974.72/5,485.04 = 2,206.32/x
  3. Step 3: Cross multiply
    3,974.72x = 5,485.04 × 2,206.32
  4. Step 4: Simplify right side
    3,974.72x = 12,101,753.45
  5. Step 5: Solve for x
    x = 12,101,753.45/3,974.72
  6. Step 6: Final answer
    x = 3,044.68

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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.