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Finding the Fourth Proportional to 4,333.01, 6,499.11 and 1,213.30

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Solution

The fourth proportional to 4,333.01, 6,499.11 and 1,213.30 is: 1,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.01 : 6,499.11 = 1,213.30 : x
  2. Step 2: Convert to fraction form
    4,333.01/6,499.11 = 1,213.30/x
  3. Step 3: Cross multiply
    4,333.01x = 6,499.11 × 1,213.30
  4. Step 4: Simplify right side
    4,333.01x = 7,885,370.16
  5. Step 5: Solve for x
    x = 7,885,370.16/4,333.01
  6. Step 6: Final answer
    x = 1,819.84

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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.