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Finding the Fourth Proportional to 3,874.77, 5,801.73 and 2,310.90

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Solution

The fourth proportional to 3,874.77, 5,801.73 and 2,310.90 is: 3,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.77 : 5,801.73 = 2,310.90 : x
  2. Step 2: Convert to fraction form
    3,874.77/5,801.73 = 2,310.90/x
  3. Step 3: Cross multiply
    3,874.77x = 5,801.73 × 2,310.90
  4. Step 4: Simplify right side
    3,874.77x = 13,407,217.86
  5. Step 5: Solve for x
    x = 13,407,217.86/3,874.77
  6. Step 6: Final answer
    x = 3,460.13

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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.