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Finding the Fourth Proportional to 3,923.84, 5,877.48 and 2,685.44

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Solution

The fourth proportional to 3,923.84, 5,877.48 and 2,685.44 is: 4,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.84 : 5,877.48 = 2,685.44 : x
  2. Step 2: Convert to fraction form
    3,923.84/5,877.48 = 2,685.44/x
  3. Step 3: Cross multiply
    3,923.84x = 5,877.48 × 2,685.44
  4. Step 4: Simplify right side
    3,923.84x = 15,783,619.89
  5. Step 5: Solve for x
    x = 15,783,619.89/3,923.84
  6. Step 6: Final answer
    x = 4,022.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.