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Finding the Fourth Proportional to 3,962, 5,942.10 and 1,497.08

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Solution

The fourth proportional to 3,962, 5,942.10 and 1,497.08 is: 2,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962 : 5,942.10 = 1,497.08 : x
  2. Step 2: Convert to fraction form
    3,962/5,942.10 = 1,497.08/x
  3. Step 3: Cross multiply
    3,962x = 5,942.10 × 1,497.08
  4. Step 4: Simplify right side
    3,962x = 8,895,799.07
  5. Step 5: Solve for x
    x = 8,895,799.07/3,962
  6. Step 6: Final answer
    x = 2,245.28

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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.