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Finding the Fourth Proportional to 5,069.36, 6,998.44 and 3,578.64

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Solution

The fourth proportional to 5,069.36, 6,998.44 and 3,578.64 is: 4,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.36 : 6,998.44 = 3,578.64 : x
  2. Step 2: Convert to fraction form
    5,069.36/6,998.44 = 3,578.64/x
  3. Step 3: Cross multiply
    5,069.36x = 6,998.44 × 3,578.64
  4. Step 4: Simplify right side
    5,069.36x = 25,044,897.32
  5. Step 5: Solve for x
    x = 25,044,897.32/5,069.36
  6. Step 6: Final answer
    x = 4,940.45

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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.