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Finding the Fourth Proportional to 3,509.65, 4,843.45 and 2,017.31

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Solution

The fourth proportional to 3,509.65, 4,843.45 and 2,017.31 is: 2,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.65 : 4,843.45 = 2,017.31 : x
  2. Step 2: Convert to fraction form
    3,509.65/4,843.45 = 2,017.31/x
  3. Step 3: Cross multiply
    3,509.65x = 4,843.45 × 2,017.31
  4. Step 4: Simplify right side
    3,509.65x = 9,770,707.08
  5. Step 5: Solve for x
    x = 9,770,707.08/3,509.65
  6. Step 6: Final answer
    x = 2,783.95

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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.