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Finding the Fourth Proportional to 5,398.92, 8,100 and 3,650.94

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Solution

The fourth proportional to 5,398.92, 8,100 and 3,650.94 is: 5,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.92 : 8,100 = 3,650.94 : x
  2. Step 2: Convert to fraction form
    5,398.92/8,100 = 3,650.94/x
  3. Step 3: Cross multiply
    5,398.92x = 8,100 × 3,650.94
  4. Step 4: Simplify right side
    5,398.92x = 29,572,614
  5. Step 5: Solve for x
    x = 29,572,614/5,398.92
  6. Step 6: Final answer
    x = 5,477.51

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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.