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Finding the Fourth Proportional to 4,200.89, 6,295.14 and 3,739.55

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Solution

The fourth proportional to 4,200.89, 6,295.14 and 3,739.55 is: 5,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.89 : 6,295.14 = 3,739.55 : x
  2. Step 2: Convert to fraction form
    4,200.89/6,295.14 = 3,739.55/x
  3. Step 3: Cross multiply
    4,200.89x = 6,295.14 × 3,739.55
  4. Step 4: Simplify right side
    4,200.89x = 23,540,959.31
  5. Step 5: Solve for x
    x = 23,540,959.31/4,200.89
  6. Step 6: Final answer
    x = 5,603.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.