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Finding the Fourth Proportional to 4,977.22, 7,466.28 and 1,467.22

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Solution

The fourth proportional to 4,977.22, 7,466.28 and 1,467.22 is: 2,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.22 : 7,466.28 = 1,467.22 : x
  2. Step 2: Convert to fraction form
    4,977.22/7,466.28 = 1,467.22/x
  3. Step 3: Cross multiply
    4,977.22x = 7,466.28 × 1,467.22
  4. Step 4: Simplify right side
    4,977.22x = 10,954,675.34
  5. Step 5: Solve for x
    x = 10,954,675.34/4,977.22
  6. Step 6: Final answer
    x = 2,200.96

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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.