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Finding the Fourth Proportional to 4,942.32, 7,402.13 and 3,205.68

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Solution

The fourth proportional to 4,942.32, 7,402.13 and 3,205.68 is: 4,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.32 : 7,402.13 = 3,205.68 : x
  2. Step 2: Convert to fraction form
    4,942.32/7,402.13 = 3,205.68/x
  3. Step 3: Cross multiply
    4,942.32x = 7,402.13 × 3,205.68
  4. Step 4: Simplify right side
    4,942.32x = 23,728,844.07
  5. Step 5: Solve for x
    x = 23,728,844.07/4,942.32
  6. Step 6: Final answer
    x = 4,801.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.