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Finding the Fourth Proportional to 3,762.69, 5,638.65 and 2,115.78

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Solution

The fourth proportional to 3,762.69, 5,638.65 and 2,115.78 is: 3,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.69 : 5,638.65 = 2,115.78 : x
  2. Step 2: Convert to fraction form
    3,762.69/5,638.65 = 2,115.78/x
  3. Step 3: Cross multiply
    3,762.69x = 5,638.65 × 2,115.78
  4. Step 4: Simplify right side
    3,762.69x = 11,930,142.90
  5. Step 5: Solve for x
    x = 11,930,142.90/3,762.69
  6. Step 6: Final answer
    x = 3,170.64

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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.