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Finding the Fourth Proportional to 4,493.41, 6,742.26 and 2,028.99

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Solution

The fourth proportional to 4,493.41, 6,742.26 and 2,028.99 is: 3,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.41 : 6,742.26 = 2,028.99 : x
  2. Step 2: Convert to fraction form
    4,493.41/6,742.26 = 2,028.99/x
  3. Step 3: Cross multiply
    4,493.41x = 6,742.26 × 2,028.99
  4. Step 4: Simplify right side
    4,493.41x = 13,679,978.12
  5. Step 5: Solve for x
    x = 13,679,978.12/4,493.41
  6. Step 6: Final answer
    x = 3,044.45

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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.