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Finding the Fourth Proportional to 6,157.56, 9,234.45 and 4,049.10

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Solution

The fourth proportional to 6,157.56, 9,234.45 and 4,049.10 is: 6,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.56 : 9,234.45 = 4,049.10 : x
  2. Step 2: Convert to fraction form
    6,157.56/9,234.45 = 4,049.10/x
  3. Step 3: Cross multiply
    6,157.56x = 9,234.45 × 4,049.10
  4. Step 4: Simplify right side
    6,157.56x = 37,391,211.50
  5. Step 5: Solve for x
    x = 37,391,211.50/6,157.56
  6. Step 6: Final answer
    x = 6,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.