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Finding the Fourth Proportional to 3,976.08, 5,964.36 and 1,054.32

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Solution

The fourth proportional to 3,976.08, 5,964.36 and 1,054.32 is: 1,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.08 : 5,964.36 = 1,054.32 : x
  2. Step 2: Convert to fraction form
    3,976.08/5,964.36 = 1,054.32/x
  3. Step 3: Cross multiply
    3,976.08x = 5,964.36 × 1,054.32
  4. Step 4: Simplify right side
    3,976.08x = 6,288,344.04
  5. Step 5: Solve for x
    x = 6,288,344.04/3,976.08
  6. Step 6: Final answer
    x = 1,581.54

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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.