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Finding the Fourth Proportional to 5,199.56, 7,802.04 and 2,425.44

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Solution

The fourth proportional to 5,199.56, 7,802.04 and 2,425.44 is: 3,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.56 : 7,802.04 = 2,425.44 : x
  2. Step 2: Convert to fraction form
    5,199.56/7,802.04 = 2,425.44/x
  3. Step 3: Cross multiply
    5,199.56x = 7,802.04 × 2,425.44
  4. Step 4: Simplify right side
    5,199.56x = 18,923,379.90
  5. Step 5: Solve for x
    x = 18,923,379.90/5,199.56
  6. Step 6: Final answer
    x = 3,639.42

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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.