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Finding the Fourth Proportional to 3,763.26, 5,644.62 and 1,166.13

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Solution

The fourth proportional to 3,763.26, 5,644.62 and 1,166.13 is: 1,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.26 : 5,644.62 = 1,166.13 : x
  2. Step 2: Convert to fraction form
    3,763.26/5,644.62 = 1,166.13/x
  3. Step 3: Cross multiply
    3,763.26x = 5,644.62 × 1,166.13
  4. Step 4: Simplify right side
    3,763.26x = 6,582,360.72
  5. Step 5: Solve for x
    x = 6,582,360.72/3,763.26
  6. Step 6: Final answer
    x = 1,749.11

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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.