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Finding the Fourth Proportional to 4,399, 6,597.78 and 3,096.52

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Solution

The fourth proportional to 4,399, 6,597.78 and 3,096.52 is: 4,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399 : 6,597.78 = 3,096.52 : x
  2. Step 2: Convert to fraction form
    4,399/6,597.78 = 3,096.52/x
  3. Step 3: Cross multiply
    4,399x = 6,597.78 × 3,096.52
  4. Step 4: Simplify right side
    4,399x = 20,430,157.73
  5. Step 5: Solve for x
    x = 20,430,157.73/4,399
  6. Step 6: Final answer
    x = 4,644.27

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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.