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Finding the Fourth Proportional to 4,241.25, 5,852.97 and 2,378.25

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Solution

The fourth proportional to 4,241.25, 5,852.97 and 2,378.25 is: 3,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.25 : 5,852.97 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    4,241.25/5,852.97 = 2,378.25/x
  3. Step 3: Cross multiply
    4,241.25x = 5,852.97 × 2,378.25
  4. Step 4: Simplify right side
    4,241.25x = 13,919,825.90
  5. Step 5: Solve for x
    x = 13,919,825.90/4,241.25
  6. Step 6: Final answer
    x = 3,282.01

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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.