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Finding the Fourth Proportional to 6,349.70, 9,524.43 and 2,451.86

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Solution

The fourth proportional to 6,349.70, 9,524.43 and 2,451.86 is: 3,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.70 : 9,524.43 = 2,451.86 : x
  2. Step 2: Convert to fraction form
    6,349.70/9,524.43 = 2,451.86/x
  3. Step 3: Cross multiply
    6,349.70x = 9,524.43 × 2,451.86
  4. Step 4: Simplify right side
    6,349.70x = 23,352,568.94
  5. Step 5: Solve for x
    x = 23,352,568.94/6,349.70
  6. Step 6: Final answer
    x = 3,677.74

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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.