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Finding the Fourth Proportional to 4,164.51, 5,745.18 and 2,819.64

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Solution

The fourth proportional to 4,164.51, 5,745.18 and 2,819.64 is: 3,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.51 : 5,745.18 = 2,819.64 : x
  2. Step 2: Convert to fraction form
    4,164.51/5,745.18 = 2,819.64/x
  3. Step 3: Cross multiply
    4,164.51x = 5,745.18 × 2,819.64
  4. Step 4: Simplify right side
    4,164.51x = 16,199,339.34
  5. Step 5: Solve for x
    x = 16,199,339.34/4,164.51
  6. Step 6: Final answer
    x = 3,889.85

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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.