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Finding the Fourth Proportional to 3,763.44, 5,644.80 and 1,166.34

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Solution

The fourth proportional to 3,763.44, 5,644.80 and 1,166.34 is: 1,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.44 : 5,644.80 = 1,166.34 : x
  2. Step 2: Convert to fraction form
    3,763.44/5,644.80 = 1,166.34/x
  3. Step 3: Cross multiply
    3,763.44x = 5,644.80 × 1,166.34
  4. Step 4: Simplify right side
    3,763.44x = 6,583,756.03
  5. Step 5: Solve for x
    x = 6,583,756.03/3,763.44
  6. Step 6: Final answer
    x = 1,749.40

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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.