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Finding the Fourth Proportional to 3,742.31, 5,164.31 and 2,063.67

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Solution

The fourth proportional to 3,742.31, 5,164.31 and 2,063.67 is: 2,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.31 : 5,164.31 = 2,063.67 : x
  2. Step 2: Convert to fraction form
    3,742.31/5,164.31 = 2,063.67/x
  3. Step 3: Cross multiply
    3,742.31x = 5,164.31 × 2,063.67
  4. Step 4: Simplify right side
    3,742.31x = 10,657,421.30
  5. Step 5: Solve for x
    x = 10,657,421.30/3,742.31
  6. Step 6: Final answer
    x = 2,847.82

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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.