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Finding the Fourth Proportional to 3,461.44, 4,778.49 and 2,135.87

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Solution

The fourth proportional to 3,461.44, 4,778.49 and 2,135.87 is: 2,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.44 : 4,778.49 = 2,135.87 : x
  2. Step 2: Convert to fraction form
    3,461.44/4,778.49 = 2,135.87/x
  3. Step 3: Cross multiply
    3,461.44x = 4,778.49 × 2,135.87
  4. Step 4: Simplify right side
    3,461.44x = 10,206,238.78
  5. Step 5: Solve for x
    x = 10,206,238.78/3,461.44
  6. Step 6: Final answer
    x = 2,948.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.