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Finding the Fourth Proportional to 4,964.64, 7,396.46 and 4,729.54

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Solution

The fourth proportional to 4,964.64, 7,396.46 and 4,729.54 is: 7,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.64 : 7,396.46 = 4,729.54 : x
  2. Step 2: Convert to fraction form
    4,964.64/7,396.46 = 4,729.54/x
  3. Step 3: Cross multiply
    4,964.64x = 7,396.46 × 4,729.54
  4. Step 4: Simplify right side
    4,964.64x = 34,981,853.43
  5. Step 5: Solve for x
    x = 34,981,853.43/4,964.64
  6. Step 6: Final answer
    x = 7,046.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.