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Finding the Fourth Proportional to 3,898.16, 5,833.56 and 3,196.16

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Solution

The fourth proportional to 3,898.16, 5,833.56 and 3,196.16 is: 4,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.16 : 5,833.56 = 3,196.16 : x
  2. Step 2: Convert to fraction form
    3,898.16/5,833.56 = 3,196.16/x
  3. Step 3: Cross multiply
    3,898.16x = 5,833.56 × 3,196.16
  4. Step 4: Simplify right side
    3,898.16x = 18,644,991.13
  5. Step 5: Solve for x
    x = 18,644,991.13/3,898.16
  6. Step 6: Final answer
    x = 4,783.02

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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.