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Finding the Fourth Proportional to 3,725.40, 5,144.72 and 3,375.48

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Solution

The fourth proportional to 3,725.40, 5,144.72 and 3,375.48 is: 4,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.40 : 5,144.72 = 3,375.48 : x
  2. Step 2: Convert to fraction form
    3,725.40/5,144.72 = 3,375.48/x
  3. Step 3: Cross multiply
    3,725.40x = 5,144.72 × 3,375.48
  4. Step 4: Simplify right side
    3,725.40x = 17,365,899.47
  5. Step 5: Solve for x
    x = 17,365,899.47/3,725.40
  6. Step 6: Final answer
    x = 4,661.49

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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.