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Finding the Fourth Proportional to 3,312.56, 4,571.38 and 1,820.62

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Solution

The fourth proportional to 3,312.56, 4,571.38 and 1,820.62 is: 2,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.56 : 4,571.38 = 1,820.62 : x
  2. Step 2: Convert to fraction form
    3,312.56/4,571.38 = 1,820.62/x
  3. Step 3: Cross multiply
    3,312.56x = 4,571.38 × 1,820.62
  4. Step 4: Simplify right side
    3,312.56x = 8,322,745.86
  5. Step 5: Solve for x
    x = 8,322,745.86/3,312.56
  6. Step 6: Final answer
    x = 2,512.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.