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Finding the Fourth Proportional to 4,125.93, 5,687.14 and 3,228.14

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Solution

The fourth proportional to 4,125.93, 5,687.14 and 3,228.14 is: 4,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.93 : 5,687.14 = 3,228.14 : x
  2. Step 2: Convert to fraction form
    4,125.93/5,687.14 = 3,228.14/x
  3. Step 3: Cross multiply
    4,125.93x = 5,687.14 × 3,228.14
  4. Step 4: Simplify right side
    4,125.93x = 18,358,884.12
  5. Step 5: Solve for x
    x = 18,358,884.12/4,125.93
  6. Step 6: Final answer
    x = 4,449.64

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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.