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Finding the Fourth Proportional to 3,509.73, 4,842.99 and 2,017.31

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Solution

The fourth proportional to 3,509.73, 4,842.99 and 2,017.31 is: 2,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.73 : 4,842.99 = 2,017.31 : x
  2. Step 2: Convert to fraction form
    3,509.73/4,842.99 = 2,017.31/x
  3. Step 3: Cross multiply
    3,509.73x = 4,842.99 × 2,017.31
  4. Step 4: Simplify right side
    3,509.73x = 9,769,787.94
  5. Step 5: Solve for x
    x = 9,769,787.94/3,509.73
  6. Step 6: Final answer
    x = 2,783.63

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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.