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Finding the Fourth Proportional to 3,782.16, 5,673.16 and 2,027.76

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Solution

The fourth proportional to 3,782.16, 5,673.16 and 2,027.76 is: 3,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.16 : 5,673.16 = 2,027.76 : x
  2. Step 2: Convert to fraction form
    3,782.16/5,673.16 = 2,027.76/x
  3. Step 3: Cross multiply
    3,782.16x = 5,673.16 × 2,027.76
  4. Step 4: Simplify right side
    3,782.16x = 11,503,806.92
  5. Step 5: Solve for x
    x = 11,503,806.92/3,782.16
  6. Step 6: Final answer
    x = 3,041.60

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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.