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Finding the Fourth Proportional to 3,763.70, 5,645.34 and 1,166.56

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Solution

The fourth proportional to 3,763.70, 5,645.34 and 1,166.56 is: 1,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.70 : 5,645.34 = 1,166.56 : x
  2. Step 2: Convert to fraction form
    3,763.70/5,645.34 = 1,166.56/x
  3. Step 3: Cross multiply
    3,763.70x = 5,645.34 × 1,166.56
  4. Step 4: Simplify right side
    3,763.70x = 6,585,627.83
  5. Step 5: Solve for x
    x = 6,585,627.83/3,763.70
  6. Step 6: Final answer
    x = 1,749.77

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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.