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Finding the Fourth Proportional to 5,771.98, 7,964.85 and 3,254.72

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Solution

The fourth proportional to 5,771.98, 7,964.85 and 3,254.72 is: 4,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.98 : 7,964.85 = 3,254.72 : x
  2. Step 2: Convert to fraction form
    5,771.98/7,964.85 = 3,254.72/x
  3. Step 3: Cross multiply
    5,771.98x = 7,964.85 × 3,254.72
  4. Step 4: Simplify right side
    5,771.98x = 25,923,328.97
  5. Step 5: Solve for x
    x = 25,923,328.97/5,771.98
  6. Step 6: Final answer
    x = 4,491.24

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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.