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Finding the Fourth Proportional to 3,762.57, 5,638.46 and 2,115.66

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Solution

The fourth proportional to 3,762.57, 5,638.46 and 2,115.66 is: 3,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.57 : 5,638.46 = 2,115.66 : x
  2. Step 2: Convert to fraction form
    3,762.57/5,638.46 = 2,115.66/x
  3. Step 3: Cross multiply
    3,762.57x = 5,638.46 × 2,115.66
  4. Step 4: Simplify right side
    3,762.57x = 11,929,064.28
  5. Step 5: Solve for x
    x = 11,929,064.28/3,762.57
  6. Step 6: Final answer
    x = 3,170.46

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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.