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Finding the Fourth Proportional to 4,201.28, 5,797.49 and 2,312.49

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Solution

The fourth proportional to 4,201.28, 5,797.49 and 2,312.49 is: 3,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.28 : 5,797.49 = 2,312.49 : x
  2. Step 2: Convert to fraction form
    4,201.28/5,797.49 = 2,312.49/x
  3. Step 3: Cross multiply
    4,201.28x = 5,797.49 × 2,312.49
  4. Step 4: Simplify right side
    4,201.28x = 13,406,626.09
  5. Step 5: Solve for x
    x = 13,406,626.09/4,201.28
  6. Step 6: Final answer
    x = 3,191.09

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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.