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Finding the Fourth Proportional to 3,866.10, 5,331.78 and 3,119.82

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Solution

The fourth proportional to 3,866.10, 5,331.78 and 3,119.82 is: 4,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.10 : 5,331.78 = 3,119.82 : x
  2. Step 2: Convert to fraction form
    3,866.10/5,331.78 = 3,119.82/x
  3. Step 3: Cross multiply
    3,866.10x = 5,331.78 × 3,119.82
  4. Step 4: Simplify right side
    3,866.10x = 16,634,193.88
  5. Step 5: Solve for x
    x = 16,634,193.88/3,866.10
  6. Step 6: Final answer
    x = 4,302.58

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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.