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Finding the Fourth Proportional to 3,974.52, 5,485.18 and 2,206.46

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Solution

The fourth proportional to 3,974.52, 5,485.18 and 2,206.46 is: 3,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.52 : 5,485.18 = 2,206.46 : x
  2. Step 2: Convert to fraction form
    3,974.52/5,485.18 = 2,206.46/x
  3. Step 3: Cross multiply
    3,974.52x = 5,485.18 × 2,206.46
  4. Step 4: Simplify right side
    3,974.52x = 12,102,830.26
  5. Step 5: Solve for x
    x = 12,102,830.26/3,974.52
  6. Step 6: Final answer
    x = 3,045.10

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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.