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Finding the Fourth Proportional to 5,835.38, 8,052.82 and 3,739.50

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Solution

The fourth proportional to 5,835.38, 8,052.82 and 3,739.50 is: 5,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.38 : 8,052.82 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    5,835.38/8,052.82 = 3,739.50/x
  3. Step 3: Cross multiply
    5,835.38x = 8,052.82 × 3,739.50
  4. Step 4: Simplify right side
    5,835.38x = 30,113,511.04
  5. Step 5: Solve for x
    x = 30,113,511.04/5,835.38
  6. Step 6: Final answer
    x = 5,160.51

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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.