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Finding the Fourth Proportional to 5,340.38, 7,369.58 and 2,982.52

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Solution

The fourth proportional to 5,340.38, 7,369.58 and 2,982.52 is: 4,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.38 : 7,369.58 = 2,982.52 : x
  2. Step 2: Convert to fraction form
    5,340.38/7,369.58 = 2,982.52/x
  3. Step 3: Cross multiply
    5,340.38x = 7,369.58 × 2,982.52
  4. Step 4: Simplify right side
    5,340.38x = 21,979,936.41
  5. Step 5: Solve for x
    x = 21,979,936.41/5,340.38
  6. Step 6: Final answer
    x = 4,115.80

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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.