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Finding the Fourth Proportional to 5,427.54, 7,489.78 and 3,069.63

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Solution

The fourth proportional to 5,427.54, 7,489.78 and 3,069.63 is: 4,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.54 : 7,489.78 = 3,069.63 : x
  2. Step 2: Convert to fraction form
    5,427.54/7,489.78 = 3,069.63/x
  3. Step 3: Cross multiply
    5,427.54x = 7,489.78 × 3,069.63
  4. Step 4: Simplify right side
    5,427.54x = 22,990,853.38
  5. Step 5: Solve for x
    x = 22,990,853.38/5,427.54
  6. Step 6: Final answer
    x = 4,235.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.