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Finding the Fourth Proportional to 5,717.64, 7,890.33 and 3,361.14

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Solution

The fourth proportional to 5,717.64, 7,890.33 and 3,361.14 is: 4,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.64 : 7,890.33 = 3,361.14 : x
  2. Step 2: Convert to fraction form
    5,717.64/7,890.33 = 3,361.14/x
  3. Step 3: Cross multiply
    5,717.64x = 7,890.33 × 3,361.14
  4. Step 4: Simplify right side
    5,717.64x = 26,520,503.78
  5. Step 5: Solve for x
    x = 26,520,503.78/5,717.64
  6. Step 6: Final answer
    x = 4,638.37

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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.