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Finding the Fourth Proportional to 3,834.81, 5,752.23 and 1,166.43

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Solution

The fourth proportional to 3,834.81, 5,752.23 and 1,166.43 is: 1,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.81 : 5,752.23 = 1,166.43 : x
  2. Step 2: Convert to fraction form
    3,834.81/5,752.23 = 1,166.43/x
  3. Step 3: Cross multiply
    3,834.81x = 5,752.23 × 1,166.43
  4. Step 4: Simplify right side
    3,834.81x = 6,709,573.64
  5. Step 5: Solve for x
    x = 6,709,573.64/3,834.81
  6. Step 6: Final answer
    x = 1,749.65

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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.