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Finding the Fourth Proportional to 3,923.46, 5,880.33 and 1,840.77

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Solution

The fourth proportional to 3,923.46, 5,880.33 and 1,840.77 is: 2,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.46 : 5,880.33 = 1,840.77 : x
  2. Step 2: Convert to fraction form
    3,923.46/5,880.33 = 1,840.77/x
  3. Step 3: Cross multiply
    3,923.46x = 5,880.33 × 1,840.77
  4. Step 4: Simplify right side
    3,923.46x = 10,824,335.05
  5. Step 5: Solve for x
    x = 10,824,335.05/3,923.46
  6. Step 6: Final answer
    x = 2,758.87

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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.