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Finding the Fourth Proportional to 5,938.50, 8,195.07 and 3,285.78

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Solution

The fourth proportional to 5,938.50, 8,195.07 and 3,285.78 is: 4,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.50 : 8,195.07 = 3,285.78 : x
  2. Step 2: Convert to fraction form
    5,938.50/8,195.07 = 3,285.78/x
  3. Step 3: Cross multiply
    5,938.50x = 8,195.07 × 3,285.78
  4. Step 4: Simplify right side
    5,938.50x = 26,927,197.10
  5. Step 5: Solve for x
    x = 26,927,197.10/5,938.50
  6. Step 6: Final answer
    x = 4,534.34

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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.