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Finding the Fourth Proportional to 5,725.94, 7,902.28 and 3,208.02

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Solution

The fourth proportional to 5,725.94, 7,902.28 and 3,208.02 is: 4,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.94 : 7,902.28 = 3,208.02 : x
  2. Step 2: Convert to fraction form
    5,725.94/7,902.28 = 3,208.02/x
  3. Step 3: Cross multiply
    5,725.94x = 7,902.28 × 3,208.02
  4. Step 4: Simplify right side
    5,725.94x = 25,350,672.29
  5. Step 5: Solve for x
    x = 25,350,672.29/5,725.94
  6. Step 6: Final answer
    x = 4,427.34

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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.