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Finding the Fourth Proportional to 3,763.35, 5,644.00 and 1,297.34

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Solution

The fourth proportional to 3,763.35, 5,644.00 and 1,297.34 is: 1,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.35 : 5,644.00 = 1,297.34 : x
  2. Step 2: Convert to fraction form
    3,763.35/5,644.00 = 1,297.34/x
  3. Step 3: Cross multiply
    3,763.35x = 5,644.00 × 1,297.34
  4. Step 4: Simplify right side
    3,763.35x = 7,322,157.12
  5. Step 5: Solve for x
    x = 7,322,157.12/3,763.35
  6. Step 6: Final answer
    x = 1,945.65

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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.