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Finding the Fourth Proportional to 4,636.44, 6,394.24 and 4,613.05

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Solution

The fourth proportional to 4,636.44, 6,394.24 and 4,613.05 is: 6,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.44 : 6,394.24 = 4,613.05 : x
  2. Step 2: Convert to fraction form
    4,636.44/6,394.24 = 4,613.05/x
  3. Step 3: Cross multiply
    4,636.44x = 6,394.24 × 4,613.05
  4. Step 4: Simplify right side
    4,636.44x = 29,496,962.59
  5. Step 5: Solve for x
    x = 29,496,962.59/4,636.44
  6. Step 6: Final answer
    x = 6,361.99

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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.