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Finding the Fourth Proportional to 3,656.75, 5,043.95 and 2,163.62

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Solution

The fourth proportional to 3,656.75, 5,043.95 and 2,163.62 is: 2,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.75 : 5,043.95 = 2,163.62 : x
  2. Step 2: Convert to fraction form
    3,656.75/5,043.95 = 2,163.62/x
  3. Step 3: Cross multiply
    3,656.75x = 5,043.95 × 2,163.62
  4. Step 4: Simplify right side
    3,656.75x = 10,913,155.06
  5. Step 5: Solve for x
    x = 10,913,155.06/3,656.75
  6. Step 6: Final answer
    x = 2,984.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.