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Finding the Fourth Proportional to 5,427.69, 7,490.07 and 3,069.78

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Solution

The fourth proportional to 5,427.69, 7,490.07 and 3,069.78 is: 4,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.69 : 7,490.07 = 3,069.78 : x
  2. Step 2: Convert to fraction form
    5,427.69/7,490.07 = 3,069.78/x
  3. Step 3: Cross multiply
    5,427.69x = 7,490.07 × 3,069.78
  4. Step 4: Simplify right side
    5,427.69x = 22,992,867.08
  5. Step 5: Solve for x
    x = 22,992,867.08/5,427.69
  6. Step 6: Final answer
    x = 4,236.22

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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.