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Finding the Fourth Proportional to 5,380.50, 8,071.05 and 1,917.75

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Solution

The fourth proportional to 5,380.50, 8,071.05 and 1,917.75 is: 2,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.50 : 8,071.05 = 1,917.75 : x
  2. Step 2: Convert to fraction form
    5,380.50/8,071.05 = 1,917.75/x
  3. Step 3: Cross multiply
    5,380.50x = 8,071.05 × 1,917.75
  4. Step 4: Simplify right side
    5,380.50x = 15,478,256.14
  5. Step 5: Solve for x
    x = 15,478,256.14/5,380.50
  6. Step 6: Final answer
    x = 2,876.73

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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.