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Finding the Fourth Proportional to 4,761.44, 7,138.20 and 3,303.44

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Solution

The fourth proportional to 4,761.44, 7,138.20 and 3,303.44 is: 4,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.44 : 7,138.20 = 3,303.44 : x
  2. Step 2: Convert to fraction form
    4,761.44/7,138.20 = 3,303.44/x
  3. Step 3: Cross multiply
    4,761.44x = 7,138.20 × 3,303.44
  4. Step 4: Simplify right side
    4,761.44x = 23,580,615.41
  5. Step 5: Solve for x
    x = 23,580,615.41/4,761.44
  6. Step 6: Final answer
    x = 4,952.41

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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.