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Finding the Fourth Proportional to 4,153.67, 5,732.17 and 2,361.11

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Solution

The fourth proportional to 4,153.67, 5,732.17 and 2,361.11 is: 3,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.67 : 5,732.17 = 2,361.11 : x
  2. Step 2: Convert to fraction form
    4,153.67/5,732.17 = 2,361.11/x
  3. Step 3: Cross multiply
    4,153.67x = 5,732.17 × 2,361.11
  4. Step 4: Simplify right side
    4,153.67x = 13,534,263.68
  5. Step 5: Solve for x
    x = 13,534,263.68/4,153.67
  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.