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Finding the Fourth Proportional to 4,157.58, 6,234.30 and 1,383.29

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Solution

The fourth proportional to 4,157.58, 6,234.30 and 1,383.29 is: 2,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.58 : 6,234.30 = 1,383.29 : x
  2. Step 2: Convert to fraction form
    4,157.58/6,234.30 = 1,383.29/x
  3. Step 3: Cross multiply
    4,157.58x = 6,234.30 × 1,383.29
  4. Step 4: Simplify right side
    4,157.58x = 8,623,837.05
  5. Step 5: Solve for x
    x = 8,623,837.05/4,157.58
  6. Step 6: Final answer
    x = 2,074.24

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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.