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Finding the Fourth Proportional to 5,885.28, 8,829 and 1,936.77

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Solution

The fourth proportional to 5,885.28, 8,829 and 1,936.77 is: 2,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.28 : 8,829 = 1,936.77 : x
  2. Step 2: Convert to fraction form
    5,885.28/8,829 = 1,936.77/x
  3. Step 3: Cross multiply
    5,885.28x = 8,829 × 1,936.77
  4. Step 4: Simplify right side
    5,885.28x = 17,099,742.33
  5. Step 5: Solve for x
    x = 17,099,742.33/5,885.28
  6. Step 6: Final answer
    x = 2,905.51

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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.