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Finding the Fourth Proportional to 4,637.96, 6,395.46 and 3,968.36

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Solution

The fourth proportional to 4,637.96, 6,395.46 and 3,968.36 is: 5,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.96 : 6,395.46 = 3,968.36 : x
  2. Step 2: Convert to fraction form
    4,637.96/6,395.46 = 3,968.36/x
  3. Step 3: Cross multiply
    4,637.96x = 6,395.46 × 3,968.36
  4. Step 4: Simplify right side
    4,637.96x = 25,379,487.65
  5. Step 5: Solve for x
    x = 25,379,487.65/4,637.96
  6. Step 6: Final answer
    x = 5,472.12

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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.