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Finding the Fourth Proportional to 4,285.73, 5,903.73 and 3,654.20

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Solution

The fourth proportional to 4,285.73, 5,903.73 and 3,654.20 is: 5,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.73 : 5,903.73 = 3,654.20 : x
  2. Step 2: Convert to fraction form
    4,285.73/5,903.73 = 3,654.20/x
  3. Step 3: Cross multiply
    4,285.73x = 5,903.73 × 3,654.20
  4. Step 4: Simplify right side
    4,285.73x = 21,573,410.17
  5. Step 5: Solve for x
    x = 21,573,410.17/4,285.73
  6. Step 6: Final answer
    x = 5,033.78

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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.