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Finding the Fourth Proportional to 4,524.61, 6,785.47 and 4,229.44

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Solution

The fourth proportional to 4,524.61, 6,785.47 and 4,229.44 is: 6,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.61 : 6,785.47 = 4,229.44 : x
  2. Step 2: Convert to fraction form
    4,524.61/6,785.47 = 4,229.44/x
  3. Step 3: Cross multiply
    4,524.61x = 6,785.47 × 4,229.44
  4. Step 4: Simplify right side
    4,524.61x = 28,698,727.80
  5. Step 5: Solve for x
    x = 28,698,727.80/4,524.61
  6. Step 6: Final answer
    x = 6,342.81

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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.