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Finding the Fourth Proportional to 4,224.17, 5,829.32 and 2,361.17

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Solution

The fourth proportional to 4,224.17, 5,829.32 and 2,361.17 is: 3,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.17 : 5,829.32 = 2,361.17 : x
  2. Step 2: Convert to fraction form
    4,224.17/5,829.32 = 2,361.17/x
  3. Step 3: Cross multiply
    4,224.17x = 5,829.32 × 2,361.17
  4. Step 4: Simplify right side
    4,224.17x = 13,763,974.55
  5. Step 5: Solve for x
    x = 13,763,974.55/4,224.17
  6. Step 6: Final answer
    x = 3,258.39

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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.