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Finding the Fourth Proportional to 5,293, 7,939.50 and 3,625.48

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Solution

The fourth proportional to 5,293, 7,939.50 and 3,625.48 is: 5,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293 : 7,939.50 = 3,625.48 : x
  2. Step 2: Convert to fraction form
    5,293/7,939.50 = 3,625.48/x
  3. Step 3: Cross multiply
    5,293x = 7,939.50 × 3,625.48
  4. Step 4: Simplify right side
    5,293x = 28,784,498.46
  5. Step 5: Solve for x
    x = 28,784,498.46/5,293
  6. Step 6: Final answer
    x = 5,438.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.