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Finding the Fourth Proportional to 6,674.78, 9,210.38 and 3,690.68

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Solution

The fourth proportional to 6,674.78, 9,210.38 and 3,690.68 is: 5,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.78 : 9,210.38 = 3,690.68 : x
  2. Step 2: Convert to fraction form
    6,674.78/9,210.38 = 3,690.68/x
  3. Step 3: Cross multiply
    6,674.78x = 9,210.38 × 3,690.68
  4. Step 4: Simplify right side
    6,674.78x = 33,992,500.75
  5. Step 5: Solve for x
    x = 33,992,500.75/6,674.78
  6. Step 6: Final answer
    x = 5,092.68

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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.