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Finding the Fourth Proportional to 5,913.97, 8,864.97 and 3,835.30

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Solution

The fourth proportional to 5,913.97, 8,864.97 and 3,835.30 is: 5,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.97 : 8,864.97 = 3,835.30 : x
  2. Step 2: Convert to fraction form
    5,913.97/8,864.97 = 3,835.30/x
  3. Step 3: Cross multiply
    5,913.97x = 8,864.97 × 3,835.30
  4. Step 4: Simplify right side
    5,913.97x = 33,999,819.44
  5. Step 5: Solve for x
    x = 33,999,819.44/5,913.97
  6. Step 6: Final answer
    x = 5,749.07

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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.