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Finding the Fourth Proportional to 4,311.56, 6,469.91 and 4,038.23

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Solution

The fourth proportional to 4,311.56, 6,469.91 and 4,038.23 is: 6,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 6,469.91 = 4,038.23 : x
  2. Step 2: Convert to fraction form
    4,311.56/6,469.91 = 4,038.23/x
  3. Step 3: Cross multiply
    4,311.56x = 6,469.91 × 4,038.23
  4. Step 4: Simplify right side
    4,311.56x = 26,126,932.12
  5. Step 5: Solve for x
    x = 26,126,932.12/4,311.56
  6. Step 6: Final answer
    x = 6,059.75

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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.