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Finding the Fourth Proportional to 3,248.38, 4,874.73 and 1,196.38

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Solution

The fourth proportional to 3,248.38, 4,874.73 and 1,196.38 is: 1,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.38 : 4,874.73 = 1,196.38 : x
  2. Step 2: Convert to fraction form
    3,248.38/4,874.73 = 1,196.38/x
  3. Step 3: Cross multiply
    3,248.38x = 4,874.73 × 1,196.38
  4. Step 4: Simplify right side
    3,248.38x = 5,831,999.12
  5. Step 5: Solve for x
    x = 5,831,999.12/3,248.38
  6. Step 6: Final answer
    x = 1,795.36

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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.