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Finding the Fourth Proportional to 4,636.60, 6,398.44 and 2,512.09

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Solution

The fourth proportional to 4,636.60, 6,398.44 and 2,512.09 is: 3,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.60 : 6,398.44 = 2,512.09 : x
  2. Step 2: Convert to fraction form
    4,636.60/6,398.44 = 2,512.09/x
  3. Step 3: Cross multiply
    4,636.60x = 6,398.44 × 2,512.09
  4. Step 4: Simplify right side
    4,636.60x = 16,073,457.14
  5. Step 5: Solve for x
    x = 16,073,457.14/4,636.60
  6. Step 6: Final answer
    x = 3,466.65

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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.