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Finding the Fourth Proportional to 5,441.35, 7,512.67 and 4,180.15

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Solution

The fourth proportional to 5,441.35, 7,512.67 and 4,180.15 is: 5,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.35 : 7,512.67 = 4,180.15 : x
  2. Step 2: Convert to fraction form
    5,441.35/7,512.67 = 4,180.15/x
  3. Step 3: Cross multiply
    5,441.35x = 7,512.67 × 4,180.15
  4. Step 4: Simplify right side
    5,441.35x = 31,404,087.50
  5. Step 5: Solve for x
    x = 31,404,087.50/5,441.35
  6. Step 6: Final answer
    x = 5,771.38

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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.