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Finding the Fourth Proportional to 4,128.06, 5,690.06 and 3,230.22

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Solution

The fourth proportional to 4,128.06, 5,690.06 and 3,230.22 is: 4,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.06 : 5,690.06 = 3,230.22 : x
  2. Step 2: Convert to fraction form
    4,128.06/5,690.06 = 3,230.22/x
  3. Step 3: Cross multiply
    4,128.06x = 5,690.06 × 3,230.22
  4. Step 4: Simplify right side
    4,128.06x = 18,380,145.61
  5. Step 5: Solve for x
    x = 18,380,145.61/4,128.06
  6. Step 6: Final answer
    x = 4,452.49

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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.