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Finding the Fourth Proportional to 4,196.49, 6,291.50 and 2,654.25

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Solution

The fourth proportional to 4,196.49, 6,291.50 and 2,654.25 is: 3,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.49 : 6,291.50 = 2,654.25 : x
  2. Step 2: Convert to fraction form
    4,196.49/6,291.50 = 2,654.25/x
  3. Step 3: Cross multiply
    4,196.49x = 6,291.50 × 2,654.25
  4. Step 4: Simplify right side
    4,196.49x = 16,699,200.60
  5. Step 5: Solve for x
    x = 16,699,200.60/4,196.49
  6. Step 6: Final answer
    x = 3,979.33

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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.