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Finding the Fourth Proportional to 3,865.44, 5,331.93 and 3,415.87

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Solution

The fourth proportional to 3,865.44, 5,331.93 and 3,415.87 is: 4,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.44 : 5,331.93 = 3,415.87 : x
  2. Step 2: Convert to fraction form
    3,865.44/5,331.93 = 3,415.87/x
  3. Step 3: Cross multiply
    3,865.44x = 5,331.93 × 3,415.87
  4. Step 4: Simplify right side
    3,865.44x = 18,213,179.21
  5. Step 5: Solve for x
    x = 18,213,179.21/3,865.44
  6. Step 6: Final answer
    x = 4,711.80

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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.