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Finding the Fourth Proportional to 3,795.25, 5,240.14 and 3,167.40

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Solution

The fourth proportional to 3,795.25, 5,240.14 and 3,167.40 is: 4,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.25 : 5,240.14 = 3,167.40 : x
  2. Step 2: Convert to fraction form
    3,795.25/5,240.14 = 3,167.40/x
  3. Step 3: Cross multiply
    3,795.25x = 5,240.14 × 3,167.40
  4. Step 4: Simplify right side
    3,795.25x = 16,597,619.44
  5. Step 5: Solve for x
    x = 16,597,619.44/3,795.25
  6. Step 6: Final answer
    x = 4,373.26

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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.