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Finding the Fourth Proportional to 4,425.66, 6,638.49 and 1,652.22

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Solution

The fourth proportional to 4,425.66, 6,638.49 and 1,652.22 is: 2,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.66 : 6,638.49 = 1,652.22 : x
  2. Step 2: Convert to fraction form
    4,425.66/6,638.49 = 1,652.22/x
  3. Step 3: Cross multiply
    4,425.66x = 6,638.49 × 1,652.22
  4. Step 4: Simplify right side
    4,425.66x = 10,968,245.95
  5. Step 5: Solve for x
    x = 10,968,245.95/4,425.66
  6. Step 6: Final answer
    x = 2,478.33

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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.