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Finding the Fourth Proportional to 5,938.38, 8,906.54 and 1,777.27

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Solution

The fourth proportional to 5,938.38, 8,906.54 and 1,777.27 is: 2,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.38 : 8,906.54 = 1,777.27 : x
  2. Step 2: Convert to fraction form
    5,938.38/8,906.54 = 1,777.27/x
  3. Step 3: Cross multiply
    5,938.38x = 8,906.54 × 1,777.27
  4. Step 4: Simplify right side
    5,938.38x = 15,829,291.84
  5. Step 5: Solve for x
    x = 15,829,291.84/5,938.38
  6. Step 6: Final answer
    x = 2,665.59

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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.