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Finding the Fourth Proportional to 5,241.38, 7,863.28 and 1,778.63

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Solution

The fourth proportional to 5,241.38, 7,863.28 and 1,778.63 is: 2,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.38 : 7,863.28 = 1,778.63 : x
  2. Step 2: Convert to fraction form
    5,241.38/7,863.28 = 1,778.63/x
  3. Step 3: Cross multiply
    5,241.38x = 7,863.28 × 1,778.63
  4. Step 4: Simplify right side
    5,241.38x = 13,985,821.94
  5. Step 5: Solve for x
    x = 13,985,821.94/5,241.38
  6. Step 6: Final answer
    x = 2,668.35

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