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Finding the Fourth Proportional to 5,936.34, 8,904.85 and 1,775.91

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Solution

The fourth proportional to 5,936.34, 8,904.85 and 1,775.91 is: 2,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.34 : 8,904.85 = 1,775.91 : x
  2. Step 2: Convert to fraction form
    5,936.34/8,904.85 = 1,775.91/x
  3. Step 3: Cross multiply
    5,936.34x = 8,904.85 × 1,775.91
  4. Step 4: Simplify right side
    5,936.34x = 15,814,231.09
  5. Step 5: Solve for x
    x = 15,814,231.09/5,936.34
  6. Step 6: Final answer
    x = 2,663.97

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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.