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Finding the Fourth Proportional to 5,348.23, 8,019 and 2,057.40

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Solution

The fourth proportional to 5,348.23, 8,019 and 2,057.40 is: 3,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.23 : 8,019 = 2,057.40 : x
  2. Step 2: Convert to fraction form
    5,348.23/8,019 = 2,057.40/x
  3. Step 3: Cross multiply
    5,348.23x = 8,019 × 2,057.40
  4. Step 4: Simplify right side
    5,348.23x = 16,498,290.60
  5. Step 5: Solve for x
    x = 16,498,290.60/5,348.23
  6. Step 6: Final answer
    x = 3,084.81

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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.