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Finding the Fourth Proportional to 5,874.26, 8,805.42 and 3,684.52

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Solution

The fourth proportional to 5,874.26, 8,805.42 and 3,684.52 is: 5,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.26 : 8,805.42 = 3,684.52 : x
  2. Step 2: Convert to fraction form
    5,874.26/8,805.42 = 3,684.52/x
  3. Step 3: Cross multiply
    5,874.26x = 8,805.42 × 3,684.52
  4. Step 4: Simplify right side
    5,874.26x = 32,443,746.10
  5. Step 5: Solve for x
    x = 32,443,746.10/5,874.26
  6. Step 6: Final answer
    x = 5,523.04

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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.