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Finding the Fourth Proportional to 3,763.34, 5,645.32 and 1,166.28

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Solution

The fourth proportional to 3,763.34, 5,645.32 and 1,166.28 is: 1,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.34 : 5,645.32 = 1,166.28 : x
  2. Step 2: Convert to fraction form
    3,763.34/5,645.32 = 1,166.28/x
  3. Step 3: Cross multiply
    3,763.34x = 5,645.32 × 1,166.28
  4. Step 4: Simplify right side
    3,763.34x = 6,584,020.89
  5. Step 5: Solve for x
    x = 6,584,020.89/3,763.34
  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.