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Finding the Fourth Proportional to 3,763.96, 5,193.72 and 2,271.46

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Solution

The fourth proportional to 3,763.96, 5,193.72 and 2,271.46 is: 3,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.96 : 5,193.72 = 2,271.46 : x
  2. Step 2: Convert to fraction form
    3,763.96/5,193.72 = 2,271.46/x
  3. Step 3: Cross multiply
    3,763.96x = 5,193.72 × 2,271.46
  4. Step 4: Simplify right side
    3,763.96x = 11,797,327.23
  5. Step 5: Solve for x
    x = 11,797,327.23/3,763.96
  6. Step 6: Final answer
    x = 3,134.29

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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.