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Finding the Fourth Proportional to 4,143.83, 5,717.09 and 2,815.22

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Solution

The fourth proportional to 4,143.83, 5,717.09 and 2,815.22 is: 3,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.83 : 5,717.09 = 2,815.22 : x
  2. Step 2: Convert to fraction form
    4,143.83/5,717.09 = 2,815.22/x
  3. Step 3: Cross multiply
    4,143.83x = 5,717.09 × 2,815.22
  4. Step 4: Simplify right side
    4,143.83x = 16,094,852.03
  5. Step 5: Solve for x
    x = 16,094,852.03/4,143.83
  6. Step 6: Final answer
    x = 3,884.05

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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.