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Finding the Fourth Proportional to 3,453.96, 4,765.46 and 2,127.88

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Solution

The fourth proportional to 3,453.96, 4,765.46 and 2,127.88 is: 2,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.96 : 4,765.46 = 2,127.88 : x
  2. Step 2: Convert to fraction form
    3,453.96/4,765.46 = 2,127.88/x
  3. Step 3: Cross multiply
    3,453.96x = 4,765.46 × 2,127.88
  4. Step 4: Simplify right side
    3,453.96x = 10,140,327.02
  5. Step 5: Solve for x
    x = 10,140,327.02/3,453.96
  6. Step 6: Final answer
    x = 2,935.86

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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.