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Finding the Fourth Proportional to 4,170.44, 5,757.60 and 4,005.20

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Solution

The fourth proportional to 4,170.44, 5,757.60 and 4,005.20 is: 5,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.44 : 5,757.60 = 4,005.20 : x
  2. Step 2: Convert to fraction form
    4,170.44/5,757.60 = 4,005.20/x
  3. Step 3: Cross multiply
    4,170.44x = 5,757.60 × 4,005.20
  4. Step 4: Simplify right side
    4,170.44x = 23,060,339.52
  5. Step 5: Solve for x
    x = 23,060,339.52/4,170.44
  6. Step 6: Final answer
    x = 5,529.47

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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.