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Finding the Fourth Proportional to 4,892.68, 7,334.56 and 1,771.96

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Solution

The fourth proportional to 4,892.68, 7,334.56 and 1,771.96 is: 2,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.68 : 7,334.56 = 1,771.96 : x
  2. Step 2: Convert to fraction form
    4,892.68/7,334.56 = 1,771.96/x
  3. Step 3: Cross multiply
    4,892.68x = 7,334.56 × 1,771.96
  4. Step 4: Simplify right side
    4,892.68x = 12,996,546.94
  5. Step 5: Solve for x
    x = 12,996,546.94/4,892.68
  6. Step 6: Final answer
    x = 2,656.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.