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Finding the Fourth Proportional to 4,849.12, 7,274.04 and 1,771.12

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Solution

The fourth proportional to 4,849.12, 7,274.04 and 1,771.12 is: 2,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.12 : 7,274.04 = 1,771.12 : x
  2. Step 2: Convert to fraction form
    4,849.12/7,274.04 = 1,771.12/x
  3. Step 3: Cross multiply
    4,849.12x = 7,274.04 × 1,771.12
  4. Step 4: Simplify right side
    4,849.12x = 12,883,197.72
  5. Step 5: Solve for x
    x = 12,883,197.72/4,849.12
  6. Step 6: Final answer
    x = 2,656.81

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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.