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Finding the Fourth Proportional to 5,441.66, 7,512.68 and 4,180.24

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Solution

The fourth proportional to 5,441.66, 7,512.68 and 4,180.24 is: 5,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.66 : 7,512.68 = 4,180.24 : x
  2. Step 2: Convert to fraction form
    5,441.66/7,512.68 = 4,180.24/x
  3. Step 3: Cross multiply
    5,441.66x = 7,512.68 × 4,180.24
  4. Step 4: Simplify right side
    5,441.66x = 31,404,783.03
  5. Step 5: Solve for x
    x = 31,404,783.03/5,441.66
  6. Step 6: Final answer
    x = 5,771.18

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