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Finding the Fourth Proportional to 4,184.44, 5,774.56 and 2,321.44

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Solution

The fourth proportional to 4,184.44, 5,774.56 and 2,321.44 is: 3,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.44 : 5,774.56 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    4,184.44/5,774.56 = 2,321.44/x
  3. Step 3: Cross multiply
    4,184.44x = 5,774.56 × 2,321.44
  4. Step 4: Simplify right side
    4,184.44x = 13,405,294.57
  5. Step 5: Solve for x
    x = 13,405,294.57/4,184.44
  6. Step 6: Final answer
    x = 3,203.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.