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Finding the Fourth Proportional to 5,466.38, 7,543.61 and 2,982.38

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Solution

The fourth proportional to 5,466.38, 7,543.61 and 2,982.38 is: 4,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.38 : 7,543.61 = 2,982.38 : x
  2. Step 2: Convert to fraction form
    5,466.38/7,543.61 = 2,982.38/x
  3. Step 3: Cross multiply
    5,466.38x = 7,543.61 × 2,982.38
  4. Step 4: Simplify right side
    5,466.38x = 22,497,858.96
  5. Step 5: Solve for x
    x = 22,497,858.96/5,466.38
  6. Step 6: Final answer
    x = 4,115.68

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1.5x scale

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.