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Finding the Fourth Proportional to 3,983.96, 5,495.82 and 2,327

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Solution

The fourth proportional to 3,983.96, 5,495.82 and 2,327 is: 3,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.96 : 5,495.82 = 2,327 : x
  2. Step 2: Convert to fraction form
    3,983.96/5,495.82 = 2,327/x
  3. Step 3: Cross multiply
    3,983.96x = 5,495.82 × 2,327
  4. Step 4: Simplify right side
    3,983.96x = 12,788,773.14
  5. Step 5: Solve for x
    x = 12,788,773.14/3,983.96
  6. Step 6: Final answer
    x = 3,210.07

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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.