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Finding the Fourth Proportional to 3,654.96, 5,043.72 and 2,083.56

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Solution

The fourth proportional to 3,654.96, 5,043.72 and 2,083.56 is: 2,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.96 : 5,043.72 = 2,083.56 : x
  2. Step 2: Convert to fraction form
    3,654.96/5,043.72 = 2,083.56/x
  3. Step 3: Cross multiply
    3,654.96x = 5,043.72 × 2,083.56
  4. Step 4: Simplify right side
    3,654.96x = 10,508,893.24
  5. Step 5: Solve for x
    x = 10,508,893.24/3,654.96
  6. Step 6: Final answer
    x = 2,875.24

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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.