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Finding the Fourth Proportional to 4,214.52, 6,321.78 and 1,747.80

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Solution

The fourth proportional to 4,214.52, 6,321.78 and 1,747.80 is: 2,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.52 : 6,321.78 = 1,747.80 : x
  2. Step 2: Convert to fraction form
    4,214.52/6,321.78 = 1,747.80/x
  3. Step 3: Cross multiply
    4,214.52x = 6,321.78 × 1,747.80
  4. Step 4: Simplify right side
    4,214.52x = 11,049,207.08
  5. Step 5: Solve for x
    x = 11,049,207.08/4,214.52
  6. Step 6: Final answer
    x = 2,621.70

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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.