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Finding the Fourth Proportional to 4,200.31, 5,793.46 and 3,566.48

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Solution

The fourth proportional to 4,200.31, 5,793.46 and 3,566.48 is: 4,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.31 : 5,793.46 = 3,566.48 : x
  2. Step 2: Convert to fraction form
    4,200.31/5,793.46 = 3,566.48/x
  3. Step 3: Cross multiply
    4,200.31x = 5,793.46 × 3,566.48
  4. Step 4: Simplify right side
    4,200.31x = 20,662,259.22
  5. Step 5: Solve for x
    x = 20,662,259.22/4,200.31
  6. Step 6: Final answer
    x = 4,919.22

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