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Finding the Fourth Proportional to 3,962.63, 5,471.34 and 3,020.06

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Solution

The fourth proportional to 3,962.63, 5,471.34 and 3,020.06 is: 4,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.63 : 5,471.34 = 3,020.06 : x
  2. Step 2: Convert to fraction form
    3,962.63/5,471.34 = 3,020.06/x
  3. Step 3: Cross multiply
    3,962.63x = 5,471.34 × 3,020.06
  4. Step 4: Simplify right side
    3,962.63x = 16,523,775.08
  5. Step 5: Solve for x
    x = 16,523,775.08/3,962.63
  6. Step 6: Final answer
    x = 4,169.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.