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Finding the Fourth Proportional to 5,836.38, 8,054.20 and 3,740.50

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Solution

The fourth proportional to 5,836.38, 8,054.20 and 3,740.50 is: 5,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.38 : 8,054.20 = 3,740.50 : x
  2. Step 2: Convert to fraction form
    5,836.38/8,054.20 = 3,740.50/x
  3. Step 3: Cross multiply
    5,836.38x = 8,054.20 × 3,740.50
  4. Step 4: Simplify right side
    5,836.38x = 30,126,735.10
  5. Step 5: Solve for x
    x = 30,126,735.10/5,836.38
  6. Step 6: Final answer
    x = 5,161.89

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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.