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Finding the Fourth Proportional to 4,822.46, 6,655.04 and 2,833.64

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Solution

The fourth proportional to 4,822.46, 6,655.04 and 2,833.64 is: 3,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.46 : 6,655.04 = 2,833.64 : x
  2. Step 2: Convert to fraction form
    4,822.46/6,655.04 = 2,833.64/x
  3. Step 3: Cross multiply
    4,822.46x = 6,655.04 × 2,833.64
  4. Step 4: Simplify right side
    4,822.46x = 18,857,940.10
  5. Step 5: Solve for x
    x = 18,857,940.10/4,822.46
  6. Step 6: Final answer
    x = 3,910.44

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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.