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Finding the Fourth Proportional to 3,799.54, 5,696.56 and 2,563.90

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Solution

The fourth proportional to 3,799.54, 5,696.56 and 2,563.90 is: 3,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.54 : 5,696.56 = 2,563.90 : x
  2. Step 2: Convert to fraction form
    3,799.54/5,696.56 = 2,563.90/x
  3. Step 3: Cross multiply
    3,799.54x = 5,696.56 × 2,563.90
  4. Step 4: Simplify right side
    3,799.54x = 14,605,410.18
  5. Step 5: Solve for x
    x = 14,605,410.18/3,799.54
  6. Step 6: Final answer
    x = 3,843.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.