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Finding the Fourth Proportional to 5,193.41, 7,788.29 and 1,494.64

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Solution

The fourth proportional to 5,193.41, 7,788.29 and 1,494.64 is: 2,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.41 : 7,788.29 = 1,494.64 : x
  2. Step 2: Convert to fraction form
    5,193.41/7,788.29 = 1,494.64/x
  3. Step 3: Cross multiply
    5,193.41x = 7,788.29 × 1,494.64
  4. Step 4: Simplify right side
    5,193.41x = 11,640,720.24
  5. Step 5: Solve for x
    x = 11,640,720.24/5,193.41
  6. Step 6: Final answer
    x = 2,241.44

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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.