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Finding the Fourth Proportional to 6,739.60, 9,300.39 and 3,755.38

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Solution

The fourth proportional to 6,739.60, 9,300.39 and 3,755.38 is: 5,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.60 : 9,300.39 = 3,755.38 : x
  2. Step 2: Convert to fraction form
    6,739.60/9,300.39 = 3,755.38/x
  3. Step 3: Cross multiply
    6,739.60x = 9,300.39 × 3,755.38
  4. Step 4: Simplify right side
    6,739.60x = 34,926,498.60
  5. Step 5: Solve for x
    x = 34,926,498.60/6,739.60
  6. Step 6: Final answer
    x = 5,182.28

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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.