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Finding the Fourth Proportional to 4,224.08, 5,829.32 and 2,361.20

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Solution

The fourth proportional to 4,224.08, 5,829.32 and 2,361.20 is: 3,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.08 : 5,829.32 = 2,361.20 : x
  2. Step 2: Convert to fraction form
    4,224.08/5,829.32 = 2,361.20/x
  3. Step 3: Cross multiply
    4,224.08x = 5,829.32 × 2,361.20
  4. Step 4: Simplify right side
    4,224.08x = 13,764,190.38
  5. Step 5: Solve for x
    x = 13,764,190.38/4,224.08
  6. Step 6: Final answer
    x = 3,258.51

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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.