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Finding the Fourth Proportional to 5,964.24, 8,942.04 and 2,842.32

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Solution

The fourth proportional to 5,964.24, 8,942.04 and 2,842.32 is: 4,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.24 : 8,942.04 = 2,842.32 : x
  2. Step 2: Convert to fraction form
    5,964.24/8,942.04 = 2,842.32/x
  3. Step 3: Cross multiply
    5,964.24x = 8,942.04 × 2,842.32
  4. Step 4: Simplify right side
    5,964.24x = 25,416,139.13
  5. Step 5: Solve for x
    x = 25,416,139.13/5,964.24
  6. Step 6: Final answer
    x = 4,261.42

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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.