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Finding the Fourth Proportional to 4,199.82, 5,796.03 and 2,432.04

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Solution

The fourth proportional to 4,199.82, 5,796.03 and 2,432.04 is: 3,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.82 : 5,796.03 = 2,432.04 : x
  2. Step 2: Convert to fraction form
    4,199.82/5,796.03 = 2,432.04/x
  3. Step 3: Cross multiply
    4,199.82x = 5,796.03 × 2,432.04
  4. Step 4: Simplify right side
    4,199.82x = 14,096,176.80
  5. Step 5: Solve for x
    x = 14,096,176.80/4,199.82
  6. Step 6: Final answer
    x = 3,356.38

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Why These Related Problems?

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