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Finding the Fourth Proportional to 4,239.57, 5,852.81 and 3,293.25

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Solution

The fourth proportional to 4,239.57, 5,852.81 and 3,293.25 is: 4,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.57 : 5,852.81 = 3,293.25 : x
  2. Step 2: Convert to fraction form
    4,239.57/5,852.81 = 3,293.25/x
  3. Step 3: Cross multiply
    4,239.57x = 5,852.81 × 3,293.25
  4. Step 4: Simplify right side
    4,239.57x = 19,274,766.53
  5. Step 5: Solve for x
    x = 19,274,766.53/4,239.57
  6. Step 6: Final answer
    x = 4,546.40

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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.