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Finding the Fourth Proportional to 3,967.44, 5,474.19 and 2,395.50

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Solution

The fourth proportional to 3,967.44, 5,474.19 and 2,395.50 is: 3,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.44 : 5,474.19 = 2,395.50 : x
  2. Step 2: Convert to fraction form
    3,967.44/5,474.19 = 2,395.50/x
  3. Step 3: Cross multiply
    3,967.44x = 5,474.19 × 2,395.50
  4. Step 4: Simplify right side
    3,967.44x = 13,113,422.15
  5. Step 5: Solve for x
    x = 13,113,422.15/3,967.44
  6. Step 6: Final answer
    x = 3,305.26

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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.