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Finding the Fourth Proportional to 5,257.00, 7,885.50 and 1,361.41

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Solution

The fourth proportional to 5,257.00, 7,885.50 and 1,361.41 is: 2,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.00 : 7,885.50 = 1,361.41 : x
  2. Step 2: Convert to fraction form
    5,257.00/7,885.50 = 1,361.41/x
  3. Step 3: Cross multiply
    5,257.00x = 7,885.50 × 1,361.41
  4. Step 4: Simplify right side
    5,257.00x = 10,735,381.39
  5. Step 5: Solve for x
    x = 10,735,381.39/5,257.00
  6. Step 6: Final answer
    x = 2,042.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.