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Finding the Fourth Proportional to 3,707.80, 5,563.32 and 1,976

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Solution

The fourth proportional to 3,707.80, 5,563.32 and 1,976 is: 2,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.80 : 5,563.32 = 1,976 : x
  2. Step 2: Convert to fraction form
    3,707.80/5,563.32 = 1,976/x
  3. Step 3: Cross multiply
    3,707.80x = 5,563.32 × 1,976
  4. Step 4: Simplify right side
    3,707.80x = 10,993,120.32
  5. Step 5: Solve for x
    x = 10,993,120.32/3,707.80
  6. Step 6: Final answer
    x = 2,964.86

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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.