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Finding the Fourth Proportional to 3,834.40, 5,751.12 and 1,237.12

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Solution

The fourth proportional to 3,834.40, 5,751.12 and 1,237.12 is: 1,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.40 : 5,751.12 = 1,237.12 : x
  2. Step 2: Convert to fraction form
    3,834.40/5,751.12 = 1,237.12/x
  3. Step 3: Cross multiply
    3,834.40x = 5,751.12 × 1,237.12
  4. Step 4: Simplify right side
    3,834.40x = 7,114,825.57
  5. Step 5: Solve for x
    x = 7,114,825.57/3,834.40
  6. Step 6: Final answer
    x = 1,855.53

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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.