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Finding the Fourth Proportional to 4,649.94, 6,416.47 and 2,633.44

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Solution

The fourth proportional to 4,649.94, 6,416.47 and 2,633.44 is: 3,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.94 : 6,416.47 = 2,633.44 : x
  2. Step 2: Convert to fraction form
    4,649.94/6,416.47 = 2,633.44/x
  3. Step 3: Cross multiply
    4,649.94x = 6,416.47 × 2,633.44
  4. Step 4: Simplify right side
    4,649.94x = 16,897,375.59
  5. Step 5: Solve for x
    x = 16,897,375.59/4,649.94
  6. Step 6: Final answer
    x = 3,633.90

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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.