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Finding the Fourth Proportional to 5,899.01, 8,842.34 and 2,199.63

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Solution

The fourth proportional to 5,899.01, 8,842.34 and 2,199.63 is: 3,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.01 : 8,842.34 = 2,199.63 : x
  2. Step 2: Convert to fraction form
    5,899.01/8,842.34 = 2,199.63/x
  3. Step 3: Cross multiply
    5,899.01x = 8,842.34 × 2,199.63
  4. Step 4: Simplify right side
    5,899.01x = 19,449,826.62
  5. Step 5: Solve for x
    x = 19,449,826.62/5,899.01
  6. Step 6: Final answer
    x = 3,297.14

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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.