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Finding the Fourth Proportional to 4,809.36, 7,213.64 and 1,521.98

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Solution

The fourth proportional to 4,809.36, 7,213.64 and 1,521.98 is: 2,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.36 : 7,213.64 = 1,521.98 : x
  2. Step 2: Convert to fraction form
    4,809.36/7,213.64 = 1,521.98/x
  3. Step 3: Cross multiply
    4,809.36x = 7,213.64 × 1,521.98
  4. Step 4: Simplify right side
    4,809.36x = 10,978,972.13
  5. Step 5: Solve for x
    x = 10,978,972.13/4,809.36
  6. Step 6: Final answer
    x = 2,282.83

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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.