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Finding the Fourth Proportional to 4,164.96, 6,249.02 and 1,243.28

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Solution

The fourth proportional to 4,164.96, 6,249.02 and 1,243.28 is: 1,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.96 : 6,249.02 = 1,243.28 : x
  2. Step 2: Convert to fraction form
    4,164.96/6,249.02 = 1,243.28/x
  3. Step 3: Cross multiply
    4,164.96x = 6,249.02 × 1,243.28
  4. Step 4: Simplify right side
    4,164.96x = 7,769,281.59
  5. Step 5: Solve for x
    x = 7,769,281.59/4,164.96
  6. Step 6: Final answer
    x = 1,865.39

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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.