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Finding the Fourth Proportional to 4,463.28, 6,687 and 3,807.36

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Solution

The fourth proportional to 4,463.28, 6,687 and 3,807.36 is: 5,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.28 : 6,687 = 3,807.36 : x
  2. Step 2: Convert to fraction form
    4,463.28/6,687 = 3,807.36/x
  3. Step 3: Cross multiply
    4,463.28x = 6,687 × 3,807.36
  4. Step 4: Simplify right side
    4,463.28x = 25,459,816.32
  5. Step 5: Solve for x
    x = 25,459,816.32/4,463.28
  6. Step 6: Final answer
    x = 5,704.28

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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.