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Finding the Fourth Proportional to 4,200.57, 5,797.49 and 2,433.25

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Solution

The fourth proportional to 4,200.57, 5,797.49 and 2,433.25 is: 3,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.57 : 5,797.49 = 2,433.25 : x
  2. Step 2: Convert to fraction form
    4,200.57/5,797.49 = 2,433.25/x
  3. Step 3: Cross multiply
    4,200.57x = 5,797.49 × 2,433.25
  4. Step 4: Simplify right side
    4,200.57x = 14,106,742.54
  5. Step 5: Solve for x
    x = 14,106,742.54/4,200.57
  6. Step 6: Final answer
    x = 3,358.29

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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.