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Finding the Fourth Proportional to 4,814.28, 6,647.46 and 3,769.32

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Solution

The fourth proportional to 4,814.28, 6,647.46 and 3,769.32 is: 5,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.28 : 6,647.46 = 3,769.32 : x
  2. Step 2: Convert to fraction form
    4,814.28/6,647.46 = 3,769.32/x
  3. Step 3: Cross multiply
    4,814.28x = 6,647.46 × 3,769.32
  4. Step 4: Simplify right side
    4,814.28x = 25,056,403.93
  5. Step 5: Solve for x
    x = 25,056,403.93/4,814.28
  6. Step 6: Final answer
    x = 5,204.60

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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.