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Finding the Fourth Proportional to 3,917.86, 5,874.96 and 2,274.94

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Solution

The fourth proportional to 3,917.86, 5,874.96 and 2,274.94 is: 3,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.86 : 5,874.96 = 2,274.94 : x
  2. Step 2: Convert to fraction form
    3,917.86/5,874.96 = 2,274.94/x
  3. Step 3: Cross multiply
    3,917.86x = 5,874.96 × 2,274.94
  4. Step 4: Simplify right side
    3,917.86x = 13,365,181.50
  5. Step 5: Solve for x
    x = 13,365,181.50/3,917.86
  6. Step 6: Final answer
    x = 3,411.35

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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.