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Finding the Fourth Proportional to 5,936.32, 8,902.96 and 1,775.25

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Solution

The fourth proportional to 5,936.32, 8,902.96 and 1,775.25 is: 2,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.32 : 8,902.96 = 1,775.25 : x
  2. Step 2: Convert to fraction form
    5,936.32/8,902.96 = 1,775.25/x
  3. Step 3: Cross multiply
    5,936.32x = 8,902.96 × 1,775.25
  4. Step 4: Simplify right side
    5,936.32x = 15,804,979.74
  5. Step 5: Solve for x
    x = 15,804,979.74/5,936.32
  6. Step 6: Final answer
    x = 2,662.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.