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Finding the Fourth Proportional to 3,705.26, 5,113.22 and 2,026.67

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Solution

The fourth proportional to 3,705.26, 5,113.22 and 2,026.67 is: 2,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.26 : 5,113.22 = 2,026.67 : x
  2. Step 2: Convert to fraction form
    3,705.26/5,113.22 = 2,026.67/x
  3. Step 3: Cross multiply
    3,705.26x = 5,113.22 × 2,026.67
  4. Step 4: Simplify right side
    3,705.26x = 10,362,773.88
  5. Step 5: Solve for x
    x = 10,362,773.88/3,705.26
  6. Step 6: Final answer
    x = 2,796.78

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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.