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Finding the Fourth Proportional to 6,268.49, 8,648.98 and 3,749.49

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Solution

The fourth proportional to 6,268.49, 8,648.98 and 3,749.49 is: 5,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.49 : 8,648.98 = 3,749.49 : x
  2. Step 2: Convert to fraction form
    6,268.49/8,648.98 = 3,749.49/x
  3. Step 3: Cross multiply
    6,268.49x = 8,648.98 × 3,749.49
  4. Step 4: Simplify right side
    6,268.49x = 32,429,254.65
  5. Step 5: Solve for x
    x = 32,429,254.65/6,268.49
  6. Step 6: Final answer
    x = 5,173.38

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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.