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Finding the Fourth Proportional to 2,923.67, 4,034.16 and 2,775.92

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Solution

The fourth proportional to 2,923.67, 4,034.16 and 2,775.92 is: 3,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.67 : 4,034.16 = 2,775.92 : x
  2. Step 2: Convert to fraction form
    2,923.67/4,034.16 = 2,775.92/x
  3. Step 3: Cross multiply
    2,923.67x = 4,034.16 × 2,775.92
  4. Step 4: Simplify right side
    2,923.67x = 11,198,505.43
  5. Step 5: Solve for x
    x = 11,198,505.43/2,923.67
  6. Step 6: Final answer
    x = 3,830.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.