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Finding the Fourth Proportional to 3,932.62, 5,899.77 and 1,299.98

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Solution

The fourth proportional to 3,932.62, 5,899.77 and 1,299.98 is: 1,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.62 : 5,899.77 = 1,299.98 : x
  2. Step 2: Convert to fraction form
    3,932.62/5,899.77 = 1,299.98/x
  3. Step 3: Cross multiply
    3,932.62x = 5,899.77 × 1,299.98
  4. Step 4: Simplify right side
    3,932.62x = 7,669,597.75
  5. Step 5: Solve for x
    x = 7,669,597.75/3,932.62
  6. Step 6: Final answer
    x = 1,950.25

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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.