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Finding the Fourth Proportional to 5,969.38, 8,936.25 and 4,924.48

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Solution

The fourth proportional to 5,969.38, 8,936.25 and 4,924.48 is: 7,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.38 : 8,936.25 = 4,924.48 : x
  2. Step 2: Convert to fraction form
    5,969.38/8,936.25 = 4,924.48/x
  3. Step 3: Cross multiply
    5,969.38x = 8,936.25 × 4,924.48
  4. Step 4: Simplify right side
    5,969.38x = 44,006,384.40
  5. Step 5: Solve for x
    x = 44,006,384.40/5,969.38
  6. Step 6: Final answer
    x = 7,372.02

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Why These Related Problems?

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