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Finding the Fourth Proportional to 5,999.40, 8,283.60 and 3,644.70

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Solution

The fourth proportional to 5,999.40, 8,283.60 and 3,644.70 is: 5,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.40 : 8,283.60 = 3,644.70 : x
  2. Step 2: Convert to fraction form
    5,999.40/8,283.60 = 3,644.70/x
  3. Step 3: Cross multiply
    5,999.40x = 8,283.60 × 3,644.70
  4. Step 4: Simplify right side
    5,999.40x = 30,191,236.92
  5. Step 5: Solve for x
    x = 30,191,236.92/5,999.40
  6. Step 6: Final answer
    x = 5,032.38

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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.