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Finding the Fourth Proportional to 3,654.76, 5,043.36 and 2,083

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Solution

The fourth proportional to 3,654.76, 5,043.36 and 2,083 is: 2,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.76 : 5,043.36 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,654.76/5,043.36 = 2,083/x
  3. Step 3: Cross multiply
    3,654.76x = 5,043.36 × 2,083
  4. Step 4: Simplify right side
    3,654.76x = 10,505,318.88
  5. Step 5: Solve for x
    x = 10,505,318.88/3,654.76
  6. Step 6: Final answer
    x = 2,874.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.