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Finding the Fourth Proportional to 8,244, 12,354.75 and 3,799.08

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Solution

The fourth proportional to 8,244, 12,354.75 and 3,799.08 is: 5,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 12,354.75 = 3,799.08 : x
  2. Step 2: Convert to fraction form
    8,244/12,354.75 = 3,799.08/x
  3. Step 3: Cross multiply
    8,244x = 12,354.75 × 3,799.08
  4. Step 4: Simplify right side
    8,244x = 46,936,683.63
  5. Step 5: Solve for x
    x = 46,936,683.63/8,244
  6. Step 6: Final answer
    x = 5,693.44

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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.