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Finding the Fourth Proportional to 5,874.26, 8,801.94 and 4,019.10

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Solution

The fourth proportional to 5,874.26, 8,801.94 and 4,019.10 is: 6,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.26 : 8,801.94 = 4,019.10 : x
  2. Step 2: Convert to fraction form
    5,874.26/8,801.94 = 4,019.10/x
  3. Step 3: Cross multiply
    5,874.26x = 8,801.94 × 4,019.10
  4. Step 4: Simplify right side
    5,874.26x = 35,375,877.05
  5. Step 5: Solve for x
    x = 35,375,877.05/5,874.26
  6. Step 6: Final answer
    x = 6,022.18

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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.