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Finding the Fourth Proportional to 5,577.69, 7,696.98 and 3,338.25

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Solution

The fourth proportional to 5,577.69, 7,696.98 and 3,338.25 is: 4,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.69 : 7,696.98 = 3,338.25 : x
  2. Step 2: Convert to fraction form
    5,577.69/7,696.98 = 3,338.25/x
  3. Step 3: Cross multiply
    5,577.69x = 7,696.98 × 3,338.25
  4. Step 4: Simplify right side
    5,577.69x = 25,694,443.49
  5. Step 5: Solve for x
    x = 25,694,443.49/5,577.69
  6. Step 6: Final answer
    x = 4,606.65

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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.