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Finding the Fourth Proportional to 3,750.67, 5,626.82 and 1,902.79

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Solution

The fourth proportional to 3,750.67, 5,626.82 and 1,902.79 is: 2,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.67 : 5,626.82 = 1,902.79 : x
  2. Step 2: Convert to fraction form
    3,750.67/5,626.82 = 1,902.79/x
  3. Step 3: Cross multiply
    3,750.67x = 5,626.82 × 1,902.79
  4. Step 4: Simplify right side
    3,750.67x = 10,706,647.31
  5. Step 5: Solve for x
    x = 10,706,647.31/3,750.67
  6. Step 6: Final answer
    x = 2,854.60

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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.