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Finding the Fourth Proportional to 3,912.59, 5,864.74 and 1,830.84

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Solution

The fourth proportional to 3,912.59, 5,864.74 and 1,830.84 is: 2,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.59 : 5,864.74 = 1,830.84 : x
  2. Step 2: Convert to fraction form
    3,912.59/5,864.74 = 1,830.84/x
  3. Step 3: Cross multiply
    3,912.59x = 5,864.74 × 1,830.84
  4. Step 4: Simplify right side
    3,912.59x = 10,737,391.43
  5. Step 5: Solve for x
    x = 10,737,391.43/3,912.59
  6. Step 6: Final answer
    x = 2,744.32

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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.