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Finding the Fourth Proportional to 3,333.50, 5,005.39 and 2,820.25

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Solution

The fourth proportional to 3,333.50, 5,005.39 and 2,820.25 is: 4,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.50 : 5,005.39 = 2,820.25 : x
  2. Step 2: Convert to fraction form
    3,333.50/5,005.39 = 2,820.25/x
  3. Step 3: Cross multiply
    3,333.50x = 5,005.39 × 2,820.25
  4. Step 4: Simplify right side
    3,333.50x = 14,116,445.68
  5. Step 5: Solve for x
    x = 14,116,445.68/3,333.50
  6. Step 6: Final answer
    x = 4,234.72

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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.