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Finding the Fourth Proportional to 4,494.13, 6,774.89 and 4,193.12

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Solution

The fourth proportional to 4,494.13, 6,774.89 and 4,193.12 is: 6,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.13 : 6,774.89 = 4,193.12 : x
  2. Step 2: Convert to fraction form
    4,494.13/6,774.89 = 4,193.12/x
  3. Step 3: Cross multiply
    4,494.13x = 6,774.89 × 4,193.12
  4. Step 4: Simplify right side
    4,494.13x = 28,407,922.73
  5. Step 5: Solve for x
    x = 28,407,922.73/4,494.13
  6. Step 6: Final answer
    x = 6,321.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.