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Finding the Fourth Proportional to 3,974.40, 5,964.48 and 1,379.52

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Solution

The fourth proportional to 3,974.40, 5,964.48 and 1,379.52 is: 2,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.40 : 5,964.48 = 1,379.52 : x
  2. Step 2: Convert to fraction form
    3,974.40/5,964.48 = 1,379.52/x
  3. Step 3: Cross multiply
    3,974.40x = 5,964.48 × 1,379.52
  4. Step 4: Simplify right side
    3,974.40x = 8,228,119.45
  5. Step 5: Solve for x
    x = 8,228,119.45/3,974.40
  6. Step 6: Final answer
    x = 2,070.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.