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Finding the Fourth Proportional to 3,270.21, 4,905.36 and 930.22

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Solution

The fourth proportional to 3,270.21, 4,905.36 and 930.22 is: 1,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.21 : 4,905.36 = 930.22 : x
  2. Step 2: Convert to fraction form
    3,270.21/4,905.36 = 930.22/x
  3. Step 3: Cross multiply
    3,270.21x = 4,905.36 × 930.22
  4. Step 4: Simplify right side
    3,270.21x = 4,563,063.98
  5. Step 5: Solve for x
    x = 4,563,063.98/3,270.21
  6. Step 6: Final answer
    x = 1,395.34

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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.