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Finding the Fourth Proportional to 3,654.97, 5,043.95 and 2,083.03

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Solution

The fourth proportional to 3,654.97, 5,043.95 and 2,083.03 is: 2,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.97 : 5,043.95 = 2,083.03 : x
  2. Step 2: Convert to fraction form
    3,654.97/5,043.95 = 2,083.03/x
  3. Step 3: Cross multiply
    3,654.97x = 5,043.95 × 2,083.03
  4. Step 4: Simplify right side
    3,654.97x = 10,506,699.17
  5. Step 5: Solve for x
    x = 10,506,699.17/3,654.97
  6. Step 6: Final answer
    x = 2,874.63

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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.