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Finding the Fourth Proportional to 3,763.41, 5,645.10 and 1,166.34

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Solution

The fourth proportional to 3,763.41, 5,645.10 and 1,166.34 is: 1,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.41 : 5,645.10 = 1,166.34 : x
  2. Step 2: Convert to fraction form
    3,763.41/5,645.10 = 1,166.34/x
  3. Step 3: Cross multiply
    3,763.41x = 5,645.10 × 1,166.34
  4. Step 4: Simplify right side
    3,763.41x = 6,584,105.93
  5. Step 5: Solve for x
    x = 6,584,105.93/3,763.41
  6. Step 6: Final answer
    x = 1,749.51

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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.