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Finding the Fourth Proportional to 3,733.96, 5,159.46 and 2,954.20

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Solution

The fourth proportional to 3,733.96, 5,159.46 and 2,954.20 is: 4,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.96 : 5,159.46 = 2,954.20 : x
  2. Step 2: Convert to fraction form
    3,733.96/5,159.46 = 2,954.20/x
  3. Step 3: Cross multiply
    3,733.96x = 5,159.46 × 2,954.20
  4. Step 4: Simplify right side
    3,733.96x = 15,242,076.73
  5. Step 5: Solve for x
    x = 15,242,076.73/3,733.96
  6. Step 6: Final answer
    x = 4,082.01

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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.