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Finding the Fourth Proportional to 5,942.09, 8,200.04 and 3,289.48

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Solution

The fourth proportional to 5,942.09, 8,200.04 and 3,289.48 is: 4,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.09 : 8,200.04 = 3,289.48 : x
  2. Step 2: Convert to fraction form
    5,942.09/8,200.04 = 3,289.48/x
  3. Step 3: Cross multiply
    5,942.09x = 8,200.04 × 3,289.48
  4. Step 4: Simplify right side
    5,942.09x = 26,973,830.63
  5. Step 5: Solve for x
    x = 26,973,830.63/5,942.09
  6. Step 6: Final answer
    x = 4,539.45

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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.