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Finding the Fourth Proportional to 4,213.52, 6,323.16 and 4,181.12

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Solution

The fourth proportional to 4,213.52, 6,323.16 and 4,181.12 is: 6,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.52 : 6,323.16 = 4,181.12 : x
  2. Step 2: Convert to fraction form
    4,213.52/6,323.16 = 4,181.12/x
  3. Step 3: Cross multiply
    4,213.52x = 6,323.16 × 4,181.12
  4. Step 4: Simplify right side
    4,213.52x = 26,437,890.74
  5. Step 5: Solve for x
    x = 26,437,890.74/4,213.52
  6. Step 6: Final answer
    x = 6,274.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.