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Finding the Fourth Proportional to 3,509.22, 4,842.83 and 2,017.44

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Solution

The fourth proportional to 3,509.22, 4,842.83 and 2,017.44 is: 2,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.22 : 4,842.83 = 2,017.44 : x
  2. Step 2: Convert to fraction form
    3,509.22/4,842.83 = 2,017.44/x
  3. Step 3: Cross multiply
    3,509.22x = 4,842.83 × 2,017.44
  4. Step 4: Simplify right side
    3,509.22x = 9,770,124.00
  5. Step 5: Solve for x
    x = 9,770,124.00/3,509.22
  6. Step 6: Final answer
    x = 2,784.13

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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.