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Finding the Fourth Proportional to 5,967.36, 8,235.90 and 3,842.28

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Solution

The fourth proportional to 5,967.36, 8,235.90 and 3,842.28 is: 5,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.36 : 8,235.90 = 3,842.28 : x
  2. Step 2: Convert to fraction form
    5,967.36/8,235.90 = 3,842.28/x
  3. Step 3: Cross multiply
    5,967.36x = 8,235.90 × 3,842.28
  4. Step 4: Simplify right side
    5,967.36x = 31,644,633.85
  5. Step 5: Solve for x
    x = 31,644,633.85/5,967.36
  6. Step 6: Final answer
    x = 5,302.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.