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Finding the Fourth Proportional to 3,441.74, 5,188.03 and 3,241.04

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Solution

The fourth proportional to 3,441.74, 5,188.03 and 3,241.04 is: 4,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.74 : 5,188.03 = 3,241.04 : x
  2. Step 2: Convert to fraction form
    3,441.74/5,188.03 = 3,241.04/x
  3. Step 3: Cross multiply
    3,441.74x = 5,188.03 × 3,241.04
  4. Step 4: Simplify right side
    3,441.74x = 16,814,612.75
  5. Step 5: Solve for x
    x = 16,814,612.75/3,441.74
  6. Step 6: Final answer
    x = 4,885.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.