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Finding the Fourth Proportional to 3,812.56, 5,261.39 and 2,320.54

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Solution

The fourth proportional to 3,812.56, 5,261.39 and 2,320.54 is: 3,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.56 : 5,261.39 = 2,320.54 : x
  2. Step 2: Convert to fraction form
    3,812.56/5,261.39 = 2,320.54/x
  3. Step 3: Cross multiply
    3,812.56x = 5,261.39 × 2,320.54
  4. Step 4: Simplify right side
    3,812.56x = 12,209,228.04
  5. Step 5: Solve for x
    x = 12,209,228.04/3,812.56
  6. Step 6: Final answer
    x = 3,202.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.