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Finding the Fourth Proportional to 5,234.08, 7,850.96 and 1,586.08

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Solution

The fourth proportional to 5,234.08, 7,850.96 and 1,586.08 is: 2,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.08 : 7,850.96 = 1,586.08 : x
  2. Step 2: Convert to fraction form
    5,234.08/7,850.96 = 1,586.08/x
  3. Step 3: Cross multiply
    5,234.08x = 7,850.96 × 1,586.08
  4. Step 4: Simplify right side
    5,234.08x = 12,452,250.64
  5. Step 5: Solve for x
    x = 12,452,250.64/5,234.08
  6. Step 6: Final answer
    x = 2,379.07

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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.