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Finding the Fourth Proportional to 3,782.90, 5,676.78 and 2,140.63

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Solution

The fourth proportional to 3,782.90, 5,676.78 and 2,140.63 is: 3,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.90 : 5,676.78 = 2,140.63 : x
  2. Step 2: Convert to fraction form
    3,782.90/5,676.78 = 2,140.63/x
  3. Step 3: Cross multiply
    3,782.90x = 5,676.78 × 2,140.63
  4. Step 4: Simplify right side
    3,782.90x = 12,151,879.41
  5. Step 5: Solve for x
    x = 12,151,879.41/3,782.90
  6. Step 6: Final answer
    x = 3,212.32

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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.