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Finding the Fourth Proportional to 4,844.64, 7,267.98 and 2,765.64

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Solution

The fourth proportional to 4,844.64, 7,267.98 and 2,765.64 is: 4,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.64 : 7,267.98 = 2,765.64 : x
  2. Step 2: Convert to fraction form
    4,844.64/7,267.98 = 2,765.64/x
  3. Step 3: Cross multiply
    4,844.64x = 7,267.98 × 2,765.64
  4. Step 4: Simplify right side
    4,844.64x = 20,100,616.21
  5. Step 5: Solve for x
    x = 20,100,616.21/4,844.64
  6. Step 6: Final answer
    x = 4,149.04

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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.