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Finding the Fourth Proportional to 4,224.96, 6,326.64 and 2,494.80

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Solution

The fourth proportional to 4,224.96, 6,326.64 and 2,494.80 is: 3,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.96 : 6,326.64 = 2,494.80 : x
  2. Step 2: Convert to fraction form
    4,224.96/6,326.64 = 2,494.80/x
  3. Step 3: Cross multiply
    4,224.96x = 6,326.64 × 2,494.80
  4. Step 4: Simplify right side
    4,224.96x = 15,783,701.47
  5. Step 5: Solve for x
    x = 15,783,701.47/4,224.96
  6. Step 6: Final answer
    x = 3,735.82

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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.