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Finding the Fourth Proportional to 3,832.16, 5,290.80 and 2,652.80

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Solution

The fourth proportional to 3,832.16, 5,290.80 and 2,652.80 is: 3,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.16 : 5,290.80 = 2,652.80 : x
  2. Step 2: Convert to fraction form
    3,832.16/5,290.80 = 2,652.80/x
  3. Step 3: Cross multiply
    3,832.16x = 5,290.80 × 2,652.80
  4. Step 4: Simplify right side
    3,832.16x = 14,035,434.24
  5. Step 5: Solve for x
    x = 14,035,434.24/3,832.16
  6. Step 6: Final answer
    x = 3,662.54

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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.