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Finding the Fourth Proportional to 3,509.83, 4,843.29 and 2,093.41

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Solution

The fourth proportional to 3,509.83, 4,843.29 and 2,093.41 is: 2,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.83 : 4,843.29 = 2,093.41 : x
  2. Step 2: Convert to fraction form
    3,509.83/4,843.29 = 2,093.41/x
  3. Step 3: Cross multiply
    3,509.83x = 4,843.29 × 2,093.41
  4. Step 4: Simplify right side
    3,509.83x = 10,138,991.72
  5. Step 5: Solve for x
    x = 10,138,991.72/3,509.83
  6. Step 6: Final answer
    x = 2,888.74

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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.