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Finding the Fourth Proportional to 4,649.44, 6,416.22 and 2,524.96

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Solution

The fourth proportional to 4,649.44, 6,416.22 and 2,524.96 is: 3,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.44 : 6,416.22 = 2,524.96 : x
  2. Step 2: Convert to fraction form
    4,649.44/6,416.22 = 2,524.96/x
  3. Step 3: Cross multiply
    4,649.44x = 6,416.22 × 2,524.96
  4. Step 4: Simplify right side
    4,649.44x = 16,200,698.85
  5. Step 5: Solve for x
    x = 16,200,698.85/4,649.44
  6. Step 6: Final answer
    x = 3,484.44

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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.