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Finding the Fourth Proportional to 5,718.86, 7,892.07 and 3,234.86

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Solution

The fourth proportional to 5,718.86, 7,892.07 and 3,234.86 is: 4,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.86 : 7,892.07 = 3,234.86 : x
  2. Step 2: Convert to fraction form
    5,718.86/7,892.07 = 3,234.86/x
  3. Step 3: Cross multiply
    5,718.86x = 7,892.07 × 3,234.86
  4. Step 4: Simplify right side
    5,718.86x = 25,529,741.56
  5. Step 5: Solve for x
    x = 25,529,741.56/5,718.86
  6. Step 6: Final answer
    x = 4,464.13

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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.