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Finding the Fourth Proportional to 3,509.29, 4,843.79 and 2,182.21

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Solution

The fourth proportional to 3,509.29, 4,843.79 and 2,182.21 is: 3,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.29 : 4,843.79 = 2,182.21 : x
  2. Step 2: Convert to fraction form
    3,509.29/4,843.79 = 2,182.21/x
  3. Step 3: Cross multiply
    3,509.29x = 4,843.79 × 2,182.21
  4. Step 4: Simplify right side
    3,509.29x = 10,570,152.14
  5. Step 5: Solve for x
    x = 10,570,152.14/3,509.29
  6. Step 6: Final answer
    x = 3,012.05

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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.