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Finding the Fourth Proportional to 5,221.82, 7,827.94 and 2,258.41

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Solution

The fourth proportional to 5,221.82, 7,827.94 and 2,258.41 is: 3,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.82 : 7,827.94 = 2,258.41 : x
  2. Step 2: Convert to fraction form
    5,221.82/7,827.94 = 2,258.41/x
  3. Step 3: Cross multiply
    5,221.82x = 7,827.94 × 2,258.41
  4. Step 4: Simplify right side
    5,221.82x = 17,678,697.88
  5. Step 5: Solve for x
    x = 17,678,697.88/5,221.82
  6. Step 6: Final answer
    x = 3,385.54

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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.