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Finding the Fourth Proportional to 3,917.76, 5,876.07 and 1,143.69

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Solution

The fourth proportional to 3,917.76, 5,876.07 and 1,143.69 is: 1,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.76 : 5,876.07 = 1,143.69 : x
  2. Step 2: Convert to fraction form
    3,917.76/5,876.07 = 1,143.69/x
  3. Step 3: Cross multiply
    3,917.76x = 5,876.07 × 1,143.69
  4. Step 4: Simplify right side
    3,917.76x = 6,720,402.50
  5. Step 5: Solve for x
    x = 6,720,402.50/3,917.76
  6. Step 6: Final answer
    x = 1,715.37

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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.