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Finding the Fourth Proportional to 5,578.98, 7,700.63 and 3,222.69

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Solution

The fourth proportional to 5,578.98, 7,700.63 and 3,222.69 is: 4,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.98 : 7,700.63 = 3,222.69 : x
  2. Step 2: Convert to fraction form
    5,578.98/7,700.63 = 3,222.69/x
  3. Step 3: Cross multiply
    5,578.98x = 7,700.63 × 3,222.69
  4. Step 4: Simplify right side
    5,578.98x = 24,816,743.29
  5. Step 5: Solve for x
    x = 24,816,743.29/5,578.98
  6. Step 6: Final answer
    x = 4,448.26

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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.