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Finding the Fourth Proportional to 4,195.74, 6,290.37 and 2,653.50

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Solution

The fourth proportional to 4,195.74, 6,290.37 and 2,653.50 is: 3,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.74 : 6,290.37 = 2,653.50 : x
  2. Step 2: Convert to fraction form
    4,195.74/6,290.37 = 2,653.50/x
  3. Step 3: Cross multiply
    4,195.74x = 6,290.37 × 2,653.50
  4. Step 4: Simplify right side
    4,195.74x = 16,691,496.80
  5. Step 5: Solve for x
    x = 16,691,496.80/4,195.74
  6. Step 6: Final answer
    x = 3,978.20

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Why These Related Problems?

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