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Finding the Fourth Proportional to 3,820.96, 5,273.12 and 2,142.72

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Solution

The fourth proportional to 3,820.96, 5,273.12 and 2,142.72 is: 2,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.96 : 5,273.12 = 2,142.72 : x
  2. Step 2: Convert to fraction form
    3,820.96/5,273.12 = 2,142.72/x
  3. Step 3: Cross multiply
    3,820.96x = 5,273.12 × 2,142.72
  4. Step 4: Simplify right side
    3,820.96x = 11,298,819.69
  5. Step 5: Solve for x
    x = 11,298,819.69/3,820.96
  6. Step 6: Final answer
    x = 2,957.06

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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.