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Finding the Fourth Proportional to 4,814.44, 7,216.23 and 3,640.63

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Solution

The fourth proportional to 4,814.44, 7,216.23 and 3,640.63 is: 5,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.44 : 7,216.23 = 3,640.63 : x
  2. Step 2: Convert to fraction form
    4,814.44/7,216.23 = 3,640.63/x
  3. Step 3: Cross multiply
    4,814.44x = 7,216.23 × 3,640.63
  4. Step 4: Simplify right side
    4,814.44x = 26,271,637.41
  5. Step 5: Solve for x
    x = 26,271,637.41/4,814.44
  6. Step 6: Final answer
    x = 5,456.84

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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.