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Finding the Fourth Proportional to 4,672.06, 7,002.33 and 2,362.30

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Solution

The fourth proportional to 4,672.06, 7,002.33 and 2,362.30 is: 3,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.06 : 7,002.33 = 2,362.30 : x
  2. Step 2: Convert to fraction form
    4,672.06/7,002.33 = 2,362.30/x
  3. Step 3: Cross multiply
    4,672.06x = 7,002.33 × 2,362.30
  4. Step 4: Simplify right side
    4,672.06x = 16,541,604.16
  5. Step 5: Solve for x
    x = 16,541,604.16/4,672.06
  6. Step 6: Final answer
    x = 3,540.54

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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.