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Finding the Fourth Proportional to 5,938.34, 8,194.16 and 3,285.41

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Solution

The fourth proportional to 5,938.34, 8,194.16 and 3,285.41 is: 4,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.34 : 8,194.16 = 3,285.41 : x
  2. Step 2: Convert to fraction form
    5,938.34/8,194.16 = 3,285.41/x
  3. Step 3: Cross multiply
    5,938.34x = 8,194.16 × 3,285.41
  4. Step 4: Simplify right side
    5,938.34x = 26,921,142.45
  5. Step 5: Solve for x
    x = 26,921,142.45/5,938.34
  6. Step 6: Final answer
    x = 4,533.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.