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Finding the Fourth Proportional to 4,865.82, 7,297.25 and 3,199.88

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Solution

The fourth proportional to 4,865.82, 7,297.25 and 3,199.88 is: 4,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.82 : 7,297.25 = 3,199.88 : x
  2. Step 2: Convert to fraction form
    4,865.82/7,297.25 = 3,199.88/x
  3. Step 3: Cross multiply
    4,865.82x = 7,297.25 × 3,199.88
  4. Step 4: Simplify right side
    4,865.82x = 23,350,271.84
  5. Step 5: Solve for x
    x = 23,350,271.84/4,865.82
  6. Step 6: Final answer
    x = 4,798.84

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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.