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Finding the Fourth Proportional to 3,867.41, 5,338.41 and 2,295.50

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Solution

The fourth proportional to 3,867.41, 5,338.41 and 2,295.50 is: 3,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.41 : 5,338.41 = 2,295.50 : x
  2. Step 2: Convert to fraction form
    3,867.41/5,338.41 = 2,295.50/x
  3. Step 3: Cross multiply
    3,867.41x = 5,338.41 × 2,295.50
  4. Step 4: Simplify right side
    3,867.41x = 12,254,311.55
  5. Step 5: Solve for x
    x = 12,254,311.55/3,867.41
  6. Step 6: Final answer
    x = 3,168.61

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Why These Related Problems?

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