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Finding the Fourth Proportional to 6,242.96, 8,614.30 and 3,589.84

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Solution

The fourth proportional to 6,242.96, 8,614.30 and 3,589.84 is: 4,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.96 : 8,614.30 = 3,589.84 : x
  2. Step 2: Convert to fraction form
    6,242.96/8,614.30 = 3,589.84/x
  3. Step 3: Cross multiply
    6,242.96x = 8,614.30 × 3,589.84
  4. Step 4: Simplify right side
    6,242.96x = 30,923,958.71
  5. Step 5: Solve for x
    x = 30,923,958.71/6,242.96
  6. Step 6: Final answer
    x = 4,953.41

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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.