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Finding the Fourth Proportional to 4,796.64, 7,195.80 and 2,199.84

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Solution

The fourth proportional to 4,796.64, 7,195.80 and 2,199.84 is: 3,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.64 : 7,195.80 = 2,199.84 : x
  2. Step 2: Convert to fraction form
    4,796.64/7,195.80 = 2,199.84/x
  3. Step 3: Cross multiply
    4,796.64x = 7,195.80 × 2,199.84
  4. Step 4: Simplify right side
    4,796.64x = 15,829,608.67
  5. Step 5: Solve for x
    x = 15,829,608.67/4,796.64
  6. Step 6: Final answer
    x = 3,300.15

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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.