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Finding the Fourth Proportional to 5,948.92, 8,936.34 and 4,855.96

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Solution

The fourth proportional to 5,948.92, 8,936.34 and 4,855.96 is: 7,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.92 : 8,936.34 = 4,855.96 : x
  2. Step 2: Convert to fraction form
    5,948.92/8,936.34 = 4,855.96/x
  3. Step 3: Cross multiply
    5,948.92x = 8,936.34 × 4,855.96
  4. Step 4: Simplify right side
    5,948.92x = 43,394,509.59
  5. Step 5: Solve for x
    x = 43,394,509.59/5,948.92
  6. Step 6: Final answer
    x = 7,294.52

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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.