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Finding the Fourth Proportional to 4,849.56, 7,274.58 and 1,771.32

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Solution

The fourth proportional to 4,849.56, 7,274.58 and 1,771.32 is: 2,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.56 : 7,274.58 = 1,771.32 : x
  2. Step 2: Convert to fraction form
    4,849.56/7,274.58 = 1,771.32/x
  3. Step 3: Cross multiply
    4,849.56x = 7,274.58 × 1,771.32
  4. Step 4: Simplify right side
    4,849.56x = 12,885,609.05
  5. Step 5: Solve for x
    x = 12,885,609.05/4,849.56
  6. Step 6: Final answer
    x = 2,657.07

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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.