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Finding the Fourth Proportional to 5,764.24, 7,955.85 and 3,771.10

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Solution

The fourth proportional to 5,764.24, 7,955.85 and 3,771.10 is: 5,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.24 : 7,955.85 = 3,771.10 : x
  2. Step 2: Convert to fraction form
    5,764.24/7,955.85 = 3,771.10/x
  3. Step 3: Cross multiply
    5,764.24x = 7,955.85 × 3,771.10
  4. Step 4: Simplify right side
    5,764.24x = 30,002,305.94
  5. Step 5: Solve for x
    x = 30,002,305.94/5,764.24
  6. Step 6: Final answer
    x = 5,204.90

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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.